Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Jump to bottom

Fraction issues fadeout rightaway #4208

Open
Matchalattesuagau opened this issue Mar 31, 2025 · 6 comments
Open

Fraction issues fadeout rightaway #4208

Matchalattesuagau opened this issue Mar 31, 2025 · 6 comments

Comments

@Matchalattesuagau
Copy link

Câu hỏi về lỗi trong đoạn code sử dụng MathTex

Xin chào mọi người,

Mình đang gặp vấn đề với đoạn code sử dụng MathTex. Khi mình chạy đoạn code này, các dấu gạch chia tử mẫu vừa hiện ra đã tự biến mất ngay. Dưới đây là đoạn code của mình:

# Nội dung bên trái - Tách từng dòng MathTex ra riêng biệt
line1 = MathTex(r"\text{VD: } y=f(x)=x^2. \text { Tính đạo hàm của hàm số trên tại } -2", font_size=26).to_edge(LEFT).shift(UP * 2)
line2 = MathTex(r"f'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0 + \Delta x) - f(x_0)}{\Delta x}" , font_size=26).next_to(line1, DOWN, aligned_edge=LEFT)
line3 = MathTex(r"\text {Thay } x_0 = -2 \text{ ta có: }", font_size=26).next_to(line2, DOWN, aligned_edge=LEFT)
line3a = MathTex(r"f'  (  -2  ) = \lim  _  {  \Delta x \to 0      } \dfrac{   f(-2 + \Delta x) - f(-2)    }{         \Delta x           }" , font_size=26).next_to(line3, DOWN, aligned_edge=LEFT)
line4 = MathTex(r"\text{Biến đổi:}", font_size=26).next_to(line3a, DOWN, aligned_edge=LEFT)
line5 = MathTex(r"f'(-2) = \lim_{\Delta x \to 0} \frac{f(-2 + \Delta x) - f(-2)}{\Delta x}", font_size=26).next_to(line4, DOWN, aligned_edge=LEFT)
line6 = MathTex(r"= \lim_{\Delta x \to 0} \frac{(-2 + \Delta x)^2 - (-2)^2}{\Delta x}", font_size=26).next_to(line5, DOWN, aligned_edge=LEFT)
line7 = MathTex(r"= \lim_{\Delta x \to 0} \frac{-4\Delta x + (\Delta x)^2}{\Delta x}", font_size=26).next_to(line6, DOWN, aligned_edge=LEFT)
line8 = MathTex(r"= \lim_{\Delta x \to 0} \left(-4 + \Delta x\right)", font_size=26).next_to(line7, DOWN, aligned_edge=LEFT)
line9 = MathTex(r"= -4", font_size=26).next_to(line8, DOWN, aligned_edge=LEFT)

self.play(Write(line1))
self.play(Write(line2))
self.play(Write(line3))
self.play(Write(line3a))
self.play(Write(line4))
self.play(Write(line5))
self.play(Write(line6))
self.play(Write(line7))
self.play(Write(line8))
self.play(Write(line9))
self.wait(3)

self.play(FadeOut(line1), FadeOut(line2), FadeOut(line3),FadeOut(line3a) , FadeOut(line4), FadeOut(line5), FadeOut(line6), FadeOut(line7), FadeOut(line8), FadeOut(line9))
@github-project-automation github-project-automation bot moved this to 🆕 New in Dev Board Mar 31, 2025
@uwezi
Copy link
Contributor

uwezi commented Mar 31, 2025 •
edited
Loading

I suggest that you at least try to write your messages in English. Very few of us have English as their native language, but as far as I am aware of it, none of the developers is Vietnamese.

Also make sure that your code examples are at least so complete that they actually can be rendered without guessing additional settings...

@uwezi
Copy link
Contributor

uwezi commented Mar 31, 2025 •
edited
Loading 

class fractions(Scene):
    def construct(self):
        # Nội dung bên trái - Tách từng dòng MathTex ra riêng biệt
        line1 = MathTex(r"\text{VD: } y=f(x)=x^2. \text { some text } -2", font_size=26).to_edge(LEFT).shift(UP * 2)
        line2 = MathTex(r"f'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0 + \Delta x) - f(x_0)}{\Delta x}" , font_size=26).next_to(line1, DOWN, aligned_edge=LEFT)
        line3 = MathTex(r"\text {Thay } x_0 = -2 \text{ other text }", font_size=26).next_to(line2, DOWN, aligned_edge=LEFT)
        line3a = MathTex(r"f'  (  -2  ) = \lim  _  {  \Delta x \to 0      } \dfrac{   f(-2 + \Delta x) - f(-2)    }{         \Delta x           }" , font_size=26).next_to(line3, DOWN, aligned_edge=LEFT)
        line4 = MathTex(r"\text{more text:}", font_size=26).next_to(line3a, DOWN, aligned_edge=LEFT)
        line5 = MathTex(r"f'(-2) = \lim_{\Delta x \to 0} \frac{f(-2 + \Delta x) - f(-2)}{\Delta x}", font_size=26).next_to(line4, DOWN, aligned_edge=LEFT)
        line6 = MathTex(r"= \lim_{\Delta x \to 0} \frac{(-2 + \Delta x)^2 - (-2)^2}{\Delta x}", font_size=26).next_to(line5, DOWN, aligned_edge=LEFT)
        line7 = MathTex(r"= \lim_{\Delta x \to 0} \frac{-4\Delta x + (\Delta x)^2}{\Delta x}", font_size=26).next_to(line6, DOWN, aligned_edge=LEFT)
        line8 = MathTex(r"= \lim_{\Delta x \to 0} \left(-4 + \Delta x\right)", font_size=26).next_to(line7, DOWN, aligned_edge=LEFT)
        line9 = MathTex(r"= -4", font_size=26).next_to(line8, DOWN, aligned_edge=LEFT)

        self.play(Write(line1))
        self.play(Write(line2))
        self.play(Write(line3))
        self.play(Write(line3a))
        self.play(Write(line4))
        self.play(Write(line5))
        self.play(Write(line6))
        self.play(Write(line7))
        self.play(Write(line8))
        self.play(Write(line9))
        self.wait(3)

        self.play(FadeOut(line1), FadeOut(line2), FadeOut(line3),FadeOut(line3a) , FadeOut(line4), FadeOut(line5), FadeOut(line6), FadeOut(line7), FadeOut(line8), FadeOut(line9))

gives the following, expected video. What exactly is your problem with this?

fractions.mp4

@Matchalattesuagau
Copy link
Author

Thank you. Could you explain the phenomenon where the fraction bar in my numerator and denominator automatically disappears when it first appears in the video, as per the initial code?

DerivativeConcept3.mp4

@Matchalattesuagau
Copy link
Author

from manim import *
from manim import config

Sử dụng xelatex làm trình biên dịch LaTeX và định dạng đầu ra .pdf

config.tex_template.tex_compiler = "xelatex"
config.tex_template.output_format = ".pdf"

class DerivativeConcept3(Scene):
def construct(self):
# Mở đầu: Tiêu đề chính
title = Text("Bản chất của đạo hàm, tiếp tuyến", font_size=48, color=YELLOW, font="Arial")
title.to_edge(UP)
self.play(Write(title))
self.wait(2)

    # Tiêu đề phụ
    subtitle = Text("3. Ví dụ", font_size=36, color=BLUE, font="Arial")
    subtitle.next_to(title, DOWN)
    self.play(Write(subtitle))
    self.wait(2)

    # Nội dung bên trái - Tách từng dòng MathTex ra riêng biệt
    line1 = MathTex(r"\text{VD: } y=f(x)=x^2. \text { some text } -2", font_size=26).to_edge(LEFT).shift(UP * 2)
    line2 = MathTex(r"f'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0 + \Delta x) - f(x_0)}{\Delta x}" , font_size=26).next_to(line1, DOWN, aligned_edge=LEFT)
    line3 = MathTex(r"\text {Thay } x_0 = -2 \text{ other text }", font_size=26).next_to(line2, DOWN, aligned_edge=LEFT)
    line3a = MathTex(r"f'  (  -2  ) = \lim  _  {  \Delta x \to 0      } \dfrac{   f(-2 + \Delta x) - f(-2)    }{         \Delta x           }" , font_size=26).next_to(line3, DOWN, aligned_edge=LEFT)
    line4 = MathTex(r"\text{more text:}", font_size=26).next_to(line3a, DOWN, aligned_edge=LEFT)
    line5 = MathTex(r"f'(-2) = \lim_{\Delta x \to 0} \frac{f(-2 + \Delta x) - f(-2)}{\Delta x}", font_size=26).next_to(line4, DOWN, aligned_edge=LEFT)
    line6 = MathTex(r"= \lim_{\Delta x \to 0} \frac{(-2 + \Delta x)^2 - (-2)^2}{\Delta x}", font_size=26).next_to(line5, DOWN, aligned_edge=LEFT)
    line7 = MathTex(r"= \lim_{\Delta x \to 0} \frac{-4\Delta x + (\Delta x)^2}{\Delta x}", font_size=26).next_to(line6, DOWN, aligned_edge=LEFT)
    line8 = MathTex(r"= \lim_{\Delta x \to 0} \left(-4 + \Delta x\right)", font_size=26).next_to(line7, DOWN, aligned_edge=LEFT)
    line9 = MathTex(r"= -4", font_size=26).next_to(line8, DOWN, aligned_edge=LEFT)

    self.play(Write(line1))
    self.play(Write(line2))
    self.play(Write(line3))
    self.play(Write(line3a))
    self.play(Write(line4))
    self.play(Write(line5))
    self.play(Write(line6))
    self.play(Write(line7))
    self.play(Write(line8))
    self.play(Write(line9))
    self.wait(3)

    self.play(FadeOut(line1), FadeOut(line2), FadeOut(line3),FadeOut(line3a) , FadeOut(line4), FadeOut(line5), FadeOut(line6), FadeOut(line7), FadeOut(line8), FadeOut(line9))
     # Nội dung từng dòng MathTex
    line10 = MathTex(r"\text{Đạo hàm tại } -2 \text{ của } y = f(x) = x^2 \text{ là } f'(-2) = -4", font_size=26).to_edge(LEFT).shift(UP * 2)
    line11 = MathTex(r"\Rightarrow \text{Tiếp tuyến tại } -2 \text{ có dạng } y = -4x + b", font_size=26).next_to(line10, DOWN, aligned_edge=LEFT)
    line12 = MathTex(r"\text{Tổng quát: Tiếp tuyến tại điểm } x_0 \text{ có dạng } y = f'(x_0) \cdot x + b", font_size=26).next_to(line11, DOWN, aligned_edge=LEFT)
    line13 = MathTex(r"\text{Điểm } A(x_0, y_0) \text{ thuộc tiếp tuyến }", font_size=26).next_to(line12, DOWN, aligned_edge=LEFT)
    line14 = MathTex(r"\Rightarrow \text{Thay tọa độ } A \text{ vào PT tiếp tuyến thỏa mãn:}", font_size=26).next_to(line13, DOWN, aligned_edge=LEFT)
    line15 = MathTex(r"y_0 = f'(x_0) \cdot x_0 + b", font_size=26).next_to(line14, DOWN, aligned_edge=LEFT)
    line16 = MathTex(r"\Rightarrow b = y_0 - f'(x_0) \cdot x_0", font_size=26).next_to(line15, DOWN, aligned_edge=LEFT)
    line17 = MathTex(r"\text{Thay vào PT tiếp tuyến ban đầu:}", font_size=26).next_to(line16, DOWN, aligned_edge=LEFT)
    
    line18 = MathTex(r"y = f'(x_0) \cdot x + y_0 - f'(x_0) \cdot x_0", font_size=26).to_edge(RIGHT).shift(UP * 2)
    line19 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + y_0", font_size=26).next_to(line18, DOWN, aligned_edge=LEFT)
    line20 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + f(x_0)", font_size=26).next_to(line19, DOWN, aligned_edge=LEFT)
    line21 = MathTex(r"\text{Áp dụng vào tiếp tuyến tại } A(-2, 4):", font_size=26).next_to(line20, DOWN, aligned_edge=LEFT)
    line22 = MathTex(r"y = f'(-2) \cdot (x - (-2)) + f(-2)", font_size=26).next_to(line21, DOWN, aligned_edge=LEFT)
    line23 = MathTex(r"\text{Chú ý: } f'(-2) = -4 \text{ và } f(-2) = 4", font_size=26).next_to(line22, DOWN, aligned_edge=LEFT)
    line24 = MathTex(r"y = -4 \cdot (x + 2) + 4", font_size=26).next_to(line23, DOWN, aligned_edge=LEFT)
    line25 = MathTex(r"\Rightarrow y = -4x - 4", font_size=26).next_to(line24, DOWN, aligned_edge=LEFT)

    # Hiển thị từng dòng MathTex
    self.play(Write(line10))
    self.play(Write(line11))
    self.play(Write(line12))
    self.play(Write(line13))
    self.play(Write(line14))
    self.play(Write(line15))
    self.play(Write(line16))
    self.play(Write(line17))
    self.play(Write(line18))
    self.play(Write(line19))
    self.play(Write(line20))
    self.play(Write(line21))
    self.play(Write(line22))
    self.play(Write(line23))
    self.play(Write(line24))
    self.play(Write(line25))
    self.wait(3)

@uwezi
Copy link
Contributor

uwezi commented Apr 1, 2025

Thank you. Could you explain the phenomenon where the fraction bar in my numerator and denominator automatically disappears when it first appears in the video, as per the initial code?
DerivativeConcept3.mp4

It still does not on my system when I run this slightly modified version of your code:

class DerivativeConcept3(Scene):
    def construct(self):
        textempl = TexTemplate(
            tex_compiler="xelatex",
            output_format=".pdf"
        )
        MathTex.set_default(tex_template=textempl)
        # Mở đầu: Tiêu đề chính
        title = Text("Bản chất của đạo hàm, tiếp tuyến", font_size=48, color=YELLOW, font="Arial")
        title.to_edge(UP)
        self.play(Write(title))
        self.wait(2)

        # Tiêu đề phụ
        subtitle = Text("3. Ví dụ", font_size=36, color=BLUE, font="Arial")
        subtitle.next_to(title, DOWN)
        self.play(Write(subtitle))
        self.wait(2)

        # Nội dung bên trái - Tách từng dòng MathTex ra riêng biệt
        line1 = MathTex(r"\text{VD: } y=f(x)=x^2. \text { some text } -2", font_size=26).to_edge(LEFT).shift(UP * 2)
        line2 = MathTex(r"f'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0 + \Delta x) - f(x_0)}{\Delta x}" , font_size=26).next_to(line1, DOWN, aligned_edge=LEFT)
        line3 = MathTex(r"\text {Thay } x_0 = -2 \text{ other text }", font_size=26).next_to(line2, DOWN, aligned_edge=LEFT)
        line3a = MathTex(r"f'  (  -2  ) = \lim  _  {  \Delta x \to 0      } \dfrac{   f(-2 + \Delta x) - f(-2)    }{         \Delta x           }" , font_size=26).next_to(line3, DOWN, aligned_edge=LEFT)
        line4 = MathTex(r"\text{more text:}", font_size=26).next_to(line3a, DOWN, aligned_edge=LEFT)
        line5 = MathTex(r"f'(-2) = \lim_{\Delta x \to 0} \frac{f(-2 + \Delta x) - f(-2)}{\Delta x}", font_size=26).next_to(line4, DOWN, aligned_edge=LEFT)
        line6 = MathTex(r"= \lim_{\Delta x \to 0} \frac{(-2 + \Delta x)^2 - (-2)^2}{\Delta x}", font_size=26).next_to(line5, DOWN, aligned_edge=LEFT)
        line7 = MathTex(r"= \lim_{\Delta x \to 0} \frac{-4\Delta x + (\Delta x)^2}{\Delta x}", font_size=26).next_to(line6, DOWN, aligned_edge=LEFT)
        line8 = MathTex(r"= \lim_{\Delta x \to 0} \left(-4 + \Delta x\right)", font_size=26).next_to(line7, DOWN, aligned_edge=LEFT)
        line9 = MathTex(r"= -4", font_size=26).next_to(line8, DOWN, aligned_edge=LEFT)

        self.play(Write(line1))
        self.play(Write(line2))
        self.play(Write(line3))
        self.play(Write(line3a))
        self.play(Write(line4))
        self.play(Write(line5))
        self.play(Write(line6))
        self.play(Write(line7))
        self.play(Write(line8))
        self.play(Write(line9))
        self.wait(3)

        self.play(FadeOut(line1), FadeOut(line2), FadeOut(line3),FadeOut(line3a) , FadeOut(line4), FadeOut(line5), FadeOut(line6), FadeOut(line7), FadeOut(line8), FadeOut(line9))
        # Nội dung từng dòng MathTex
        line10 = MathTex(r"\text{Đạo hàm tại } -2 \text{ của } y = f(x) = x^2 \text{ là } f'(-2) = -4", font_size=26).to_edge(LEFT).shift(UP * 2)
        line11 = MathTex(r"\Rightarrow \text{Tiếp tuyến tại } -2 \text{ có dạng } y = -4x + b", font_size=26).next_to(line10, DOWN, aligned_edge=LEFT)
        line12 = MathTex(r"\text{Tổng quát: Tiếp tuyến tại điểm } x_0 \text{ có dạng } y = f'(x_0) \cdot x + b", font_size=26).next_to(line11, DOWN, aligned_edge=LEFT)
        line13 = MathTex(r"\text{Điểm } A(x_0, y_0) \text{ thuộc tiếp tuyến }", font_size=26).next_to(line12, DOWN, aligned_edge=LEFT)
        line14 = MathTex(r"\Rightarrow \text{Thay tọa độ } A \text{ vào PT tiếp tuyến thỏa mãn:}", font_size=26).next_to(line13, DOWN, aligned_edge=LEFT)
        line15 = MathTex(r"y_0 = f'(x_0) \cdot x_0 + b", font_size=26).next_to(line14, DOWN, aligned_edge=LEFT)
        line16 = MathTex(r"\Rightarrow b = y_0 - f'(x_0) \cdot x_0", font_size=26).next_to(line15, DOWN, aligned_edge=LEFT)
        line17 = MathTex(r"\text{Thay vào PT tiếp tuyến ban đầu:}", font_size=26).next_to(line16, DOWN, aligned_edge=LEFT)

        line18 = MathTex(r"y = f'(x_0) \cdot x + y_0 - f'(x_0) \cdot x_0", font_size=26).to_edge(RIGHT).shift(UP * 2)
        line19 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + y_0", font_size=26).next_to(line18, DOWN, aligned_edge=LEFT)
        line20 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + f(x_0)", font_size=26).next_to(line19, DOWN, aligned_edge=LEFT)
        line21 = MathTex(r"\text{Áp dụng vào tiếp tuyến tại } A(-2, 4):", font_size=26).next_to(line20, DOWN, aligned_edge=LEFT)
        line22 = MathTex(r"y = f'(-2) \cdot (x - (-2)) + f(-2)", font_size=26).next_to(line21, DOWN, aligned_edge=LEFT)
        line23 = MathTex(r"\text{Chú ý: } f'(-2) = -4 \text{ và } f(-2) = 4", font_size=26).next_to(line22, DOWN, aligned_edge=LEFT)
        line24 = MathTex(r"y = -4 \cdot (x + 2) + 4", font_size=26).next_to(line23, DOWN, aligned_edge=LEFT)
        line25 = MathTex(r"\Rightarrow y = -4x - 4", font_size=26).next_to(line24, DOWN, aligned_edge=LEFT)

        # Hiển thị từng dòng MathTex
        self.play(Write(line10))
        self.play(Write(line11))
        self.play(Write(line12))
        self.play(Write(line13))
        self.play(Write(line14))
        self.play(Write(line15))
        self.play(Write(line16))
        self.play(Write(line17))
        self.play(Write(line18))
        self.play(Write(line19))
        self.play(Write(line20))
        self.play(Write(line21))
        self.play(Write(line22))
        self.play(Write(line23))
        self.play(Write(line24))
        self.play(Write(line25))
        self.wait(3)
DerivativeConcept3.mp4

(please use the correct code formatting here on github for better readability)

However, I think I can identify the cause of the behavior: LaTeX generally produces fraction bars as thin, filled rectangles, not as strokes, essentially all LaTeX output is filled polygons for the characters. The animation Write() first assigns a width to the stroke surrounding those polygons, then fills the polygon, then removes the stroke width again.

In some implementations and output formats, LaTeX can produce lines like the fraction bar as single stroked lines, not rectangles. Then these will become visible during Write() but since there is no filled rectangle area, they completely disappear again afterwards. This is beyond the control of Manim and has to do with how your LaTeX handles the code.

Can you check if setting the output format from ".pdf" to ".xdv" changes the result on your system? It might be necessary to remove the contents of the /media/tex folder before re-running your code, so that Manim does not use the previously cached output.

class DerivativeConcept3(Scene):
    def construct(self):
        textempl = TexTemplate(
            tex_compiler="xelatex",
            output_format=".xdv"
        )
        MathTex.set_default(tex_template=textempl)
        # Mở đầu: Tiêu đề chính
        title = Text("Bản chất của đạo hàm, tiếp tuyến", font_size=48, color=YELLOW, font="Arial")
        title.to_edge(UP)
        self.play(Write(title))
        self.wait(2)

        # Tiêu đề phụ
        subtitle = Text("3. Ví dụ", font_size=36, color=BLUE, font="Arial")
        subtitle.next_to(title, DOWN)
        self.play(Write(subtitle))
        self.wait(2)

        # Nội dung bên trái - Tách từng dòng MathTex ra riêng biệt
        line1 = MathTex(r"\text{VD: } y=f(x)=x^2. \text { some text } -2", font_size=26).to_edge(LEFT).shift(UP * 2)
        line2 = MathTex(r"f'(x_0) = \lim_{\Delta x \to 0} \frac{f(x_0 + \Delta x) - f(x_0)}{\Delta x}" , font_size=26).next_to(line1, DOWN, aligned_edge=LEFT)
        line3 = MathTex(r"\text {Thay } x_0 = -2 \text{ other text }", font_size=26).next_to(line2, DOWN, aligned_edge=LEFT)
        line3a = MathTex(r"f'  (  -2  ) = \lim  _  {  \Delta x \to 0      } \dfrac{   f(-2 + \Delta x) - f(-2)    }{         \Delta x           }" , font_size=26).next_to(line3, DOWN, aligned_edge=LEFT)
        line4 = MathTex(r"\text{more text:}", font_size=26).next_to(line3a, DOWN, aligned_edge=LEFT)
        line5 = MathTex(r"f'(-2) = \lim_{\Delta x \to 0} \frac{f(-2 + \Delta x) - f(-2)}{\Delta x}", font_size=26).next_to(line4, DOWN, aligned_edge=LEFT)
        line6 = MathTex(r"= \lim_{\Delta x \to 0} \frac{(-2 + \Delta x)^2 - (-2)^2}{\Delta x}", font_size=26).next_to(line5, DOWN, aligned_edge=LEFT)
        line7 = MathTex(r"= \lim_{\Delta x \to 0} \frac{-4\Delta x + (\Delta x)^2}{\Delta x}", font_size=26).next_to(line6, DOWN, aligned_edge=LEFT)
        line8 = MathTex(r"= \lim_{\Delta x \to 0} \left(-4 + \Delta x\right)", font_size=26).next_to(line7, DOWN, aligned_edge=LEFT)
        line9 = MathTex(r"= -4", font_size=26).next_to(line8, DOWN, aligned_edge=LEFT)

        self.play(Write(line1))
        self.play(Write(line2))
        self.play(Write(line3))
        self.play(Write(line3a))
        self.play(Write(line4))
        self.play(Write(line5))
        self.play(Write(line6))
        self.play(Write(line7))
        self.play(Write(line8))
        self.play(Write(line9))
        self.wait(3)

        self.play(FadeOut(line1), FadeOut(line2), FadeOut(line3),FadeOut(line3a) , FadeOut(line4), FadeOut(line5), FadeOut(line6), FadeOut(line7), FadeOut(line8), FadeOut(line9))
        # Nội dung từng dòng MathTex
        line10 = MathTex(r"\text{Đạo hàm tại } -2 \text{ của } y = f(x) = x^2 \text{ là } f'(-2) = -4", font_size=26).to_edge(LEFT).shift(UP * 2)
        line11 = MathTex(r"\Rightarrow \text{Tiếp tuyến tại } -2 \text{ có dạng } y = -4x + b", font_size=26).next_to(line10, DOWN, aligned_edge=LEFT)
        line12 = MathTex(r"\text{Tổng quát: Tiếp tuyến tại điểm } x_0 \text{ có dạng } y = f'(x_0) \cdot x + b", font_size=26).next_to(line11, DOWN, aligned_edge=LEFT)
        line13 = MathTex(r"\text{Điểm } A(x_0, y_0) \text{ thuộc tiếp tuyến }", font_size=26).next_to(line12, DOWN, aligned_edge=LEFT)
        line14 = MathTex(r"\Rightarrow \text{Thay tọa độ } A \text{ vào PT tiếp tuyến thỏa mãn:}", font_size=26).next_to(line13, DOWN, aligned_edge=LEFT)
        line15 = MathTex(r"y_0 = f'(x_0) \cdot x_0 + b", font_size=26).next_to(line14, DOWN, aligned_edge=LEFT)
        line16 = MathTex(r"\Rightarrow b = y_0 - f'(x_0) \cdot x_0", font_size=26).next_to(line15, DOWN, aligned_edge=LEFT)
        line17 = MathTex(r"\text{Thay vào PT tiếp tuyến ban đầu:}", font_size=26).next_to(line16, DOWN, aligned_edge=LEFT)

        line18 = MathTex(r"y = f'(x_0) \cdot x + y_0 - f'(x_0) \cdot x_0", font_size=26).to_edge(RIGHT).shift(UP * 2)
        line19 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + y_0", font_size=26).next_to(line18, DOWN, aligned_edge=LEFT)
        line20 = MathTex(r"\Rightarrow y = f'(x_0) \cdot (x - x_0) + f(x_0)", font_size=26).next_to(line19, DOWN, aligned_edge=LEFT)
        line21 = MathTex(r"\text{Áp dụng vào tiếp tuyến tại } A(-2, 4):", font_size=26).next_to(line20, DOWN, aligned_edge=LEFT)
        line22 = MathTex(r"y = f'(-2) \cdot (x - (-2)) + f(-2)", font_size=26).next_to(line21, DOWN, aligned_edge=LEFT)
        line23 = MathTex(r"\text{Chú ý: } f'(-2) = -4 \text{ và } f(-2) = 4", font_size=26).next_to(line22, DOWN, aligned_edge=LEFT)
        line24 = MathTex(r"y = -4 \cdot (x + 2) + 4", font_size=26).next_to(line23, DOWN, aligned_edge=LEFT)
        line25 = MathTex(r"\Rightarrow y = -4x - 4", font_size=26).next_to(line24, DOWN, aligned_edge=LEFT)

        # Hiển thị từng dòng MathTex
        self.play(Write(line10))
        self.play(Write(line11))
        self.play(Write(line12))
        self.play(Write(line13))
        self.play(Write(line14))
        self.play(Write(line15))
        self.play(Write(line16))
        self.play(Write(line17))
        self.play(Write(line18))
        self.play(Write(line19))
        self.play(Write(line20))
        self.play(Write(line21))
        self.play(Write(line22))
        self.play(Write(line23))
        self.play(Write(line24))
        self.play(Write(line25))
        self.wait(3)

@Matchalattesuagau
Copy link
Author

Thank you so much! I deleted all the files in the /media/tex folder, and the bars no longer disappear. I am new to this and don’t really know how to use Manim and GitHub yet. Thank you again for your help!

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Assignees
No one assigned
Labels
None yet
Projects
Dev Board
Status: 🆕 New
Milestone
No milestone
Development

No branches or pull requests
2 participants
@uwezi @Matchalattesuagau