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-rw-r--r--FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py247
1 files changed, 0 insertions, 247 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py
deleted file mode 100644
index 466e389..0000000
--- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Multivariable Functions/multivariable_func_derivative_vectorvf.py
+++ /dev/null
@@ -1,247 +0,0 @@
-from manimlib.imports import *
-
-class Derivative(GraphScene):
- CONFIG = {
- "x_min": 0,
- "x_max": 3,
- "y_min": 0,
- "y_max": 5,
- "graph_origin": ORIGIN+6*LEFT+3*DOWN,
- "x_axis_width": 6,
- "x_labeled_nums": list(range(0, 4)),
- "y_labeled_nums": list(range(0, 6)),
- }
- def construct(self):
-
- XTD = self.x_axis_width/(self.x_max - self.x_min)
- YTD = self.y_axis_height/(self.y_max - self.y_min)
-
- self.setup_axes(animate = True)
-
- graph = self.get_graph(lambda x : x*x, x_min = 0.5, x_max = 2, color = GREEN)
-
- point1 = Dot().shift(self.graph_origin+0.25*YTD*UP + 0.5*XTD*RIGHT)
- point1_lab = TextMobject(r"$t = a$")
- point1_lab.scale(0.7)
- point1_lab.next_to(point1, RIGHT)
-
- point2 = Dot().shift(self.graph_origin+2*XTD*RIGHT+4*YTD*UP)
- point2_lab = TextMobject(r"$t = b$")
- point2_lab.scale(0.7)
- point2_lab.next_to(point2, RIGHT)
-
-
- vector1 = Arrow(self.graph_origin, self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, buff=0.02, color = RED)
- vector1_lab = TextMobject(r"$\vec r(t)$", color = RED)
- vector1_lab.move_to(self.graph_origin+1.2*XTD*RIGHT+ 0.75*YTD*UP)
- vector1_lab.scale(0.8)
-
- vector2 = Arrow(self.graph_origin, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = YELLOW_C)
- vector2_lab = TextMobject(r"$\vec r(t + h)$", color = YELLOW_C)
- vector2_lab.move_to(self.graph_origin+0.5*XTD*RIGHT+ 2*YTD*UP)
- vector2_lab.scale(0.8)
-
- vector3 = Arrow(self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = PINK)
- vector3_lab = TextMobject(r"$\vec r(t + h) - \vec r(t)$", color = PINK)
- vector3_lab.move_to(self.graph_origin+2*XTD*RIGHT+ 1.5*YTD*UP)
- vector3_lab.scale(0.8)
-
-
- self.play(ShowCreation(graph))
- self.play(ShowCreation(point1), Write(point1_lab))
- self.play(ShowCreation(point2), Write(point2_lab))
-
- self.play(GrowArrow(vector1),Write(vector1_lab))
- self.play(GrowArrow(vector2),Write(vector2_lab))
- self.play(GrowArrow(vector3),Write(vector3_lab))
- self.wait(1)
-
- self.display_text()
-
- self.play(ApplyMethod(vector3_lab.move_to,(self.graph_origin+2.3*XTD*RIGHT+ 2.2*YTD*UP)))
-
- vector4 = Arrow(self.graph_origin+1*YTD*UP + 1*XTD*RIGHT, self.graph_origin+1*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = PURPLE)
- vector4_lab = TextMobject(r"$dx$", color = PURPLE)
- vector4_lab.move_to(self.graph_origin+1.7*XTD*RIGHT+ 0.8*YTD*UP)
- vector4_lab.scale(0.7)
-
- vector5 = Arrow(self.graph_origin+1*YTD*UP + 1.5*XTD*RIGHT, self.graph_origin+2.25*YTD*UP + 1.5*XTD*RIGHT, buff=0.02, color = ORANGE)
- vector5_lab = TextMobject(r"$dy$", color = ORANGE)
- vector5_lab.move_to(self.graph_origin+1.7*XTD*RIGHT+ 1.4*YTD*UP)
- vector5_lab.scale(0.7)
-
- self.play(GrowArrow(vector4),Write(vector4_lab))
- self.play(GrowArrow(vector5),Write(vector5_lab))
- self.wait(2)
-
-
-
- def display_text(self):
- text1 = TextMobject(r"$\vec r(t)$",r"+", r"$\vec r(t + h) - \vec r(t)$")
- text1[0].set_color(RED)
- text1[2].set_color(PINK)
- text1.scale(0.7)
-
- text2 = TextMobject(r"$\vec r(t + h)$", color = YELLOW_C)
- text2.scale(0.7)
-
- text3 = TextMobject(r"$ \vec r(t + h) - \vec r(t)$", color = PINK)
- text3.scale(0.7)
-
- text4 = TextMobject(r"[", r"$x(t+h)$", r"$\vec i$", r"+", r"$y(t+h)$", r"$\vec j$", r"$] - [$", r"$x(t)$", r"$\vec i$", r"+", r"y(t)", r"$\vec j$", r"]")
- text4.set_color_by_tex(r"\vec i", BLUE)
- text4.set_color_by_tex(r"\vec j", GREEN)
- text4[1].set_color(YELLOW_C)
- text4[4].set_color(YELLOW_C)
- text4[-6].set_color(RED)
- text4[-3].set_color(RED)
- text4.scale(0.7)
-
- text5 = TextMobject(r"$[x(t+h) - x(t)]$", r"$\vec i$", r"+", r"$[y(t+h) + y(t)]$", r"$\vec j$")
- text5.set_color_by_tex(r"\vec i", BLUE)
- text5.set_color_by_tex(r"\vec j", GREEN)
- text5[0].set_color(PURPLE)
- text5[3].set_color(ORANGE)
- text5.scale(0.7)
-
- text6 = TextMobject(r"$\frac{[\vec r(t + h) - \vec r(t)]}{h}$", r"=", r"$\frac{[x(t+h) - x(t)]}{h}$", r"$\vec i$", r"+", r"$\frac{[y(t+h) + y(t)]}{h}$", r"$\vec j$")
- text6.set_color_by_tex(r"\vec i", BLUE)
- text6.set_color_by_tex(r"\vec j", GREEN)
- text6[0].set_color(PINK)
- text6[2].set_color(PURPLE)
- text6[-2].set_color(ORANGE)
- text6.scale(0.8)
-
- text7 = TextMobject(r"$\lim_{h \rightarrow 0}$", r"$\frac{[\vec r(t + h) - \vec r(t)]}{h}$", r"=", r"$\lim_{h \rightarrow 0}$", r"$\frac{[x(t+h) - x(t)]}{h}$", r"$\vec i$", r"+", r"$\lim_{h \rightarrow 0}$", r"$\frac{[y(t+h) + y(t)]}{h}$", r"$\vec j$")
- text7.set_color_by_tex(r"\vec i", BLUE)
- text7.set_color_by_tex(r"\vec j", GREEN)
- text7[1].set_color(PINK)
- text7[4].set_color(PURPLE)
- text7[-2].set_color(ORANGE)
- text7.scale(0.6)
-
- text8 = TextMobject(r"$\vec r'(t)$", r"=",r"$\vec x'(t)$", r"$\vec i$", r"+", r"$\vec y'(t)$", r"$\vec j$")
- text8.set_color_by_tex(r"\vec i", BLUE)
- text8.set_color_by_tex(r"\vec j", GREEN)
- text8[0].set_color(PINK)
- text8[2].set_color(PURPLE)
- text8[5].set_color(ORANGE)
- text8.scale(0.7)
-
- text9 = TextMobject(r"$\frac{d \vec r}{dt}$", r"=", r"$\frac{d \vec x}{dt}$", r"$\vec i$", r"+", r"$\frac{d \vec y}{dt}$", r"$\vec j$")
- text9.set_color_by_tex(r"\vec i", BLUE)
- text9.set_color_by_tex(r"\vec j", GREEN)
- text9[0].set_color(PINK)
- text9[2].set_color(PURPLE)
- text9[5].set_color(ORANGE)
- text9.scale(0.7)
-
-
- text10 = TextMobject(r"$d \vec r$", r"=", r"$\frac{d \vec x}{dt}dt$", r"$\vec i$", r"+", r"$\frac{d \vec y}{dt}dt$", r"$\vec j$")
- text10.set_color_by_tex(r"\vec i", BLUE)
- text10.set_color_by_tex(r"\vec j", GREEN)
- text10[0].set_color(PINK)
- text10[2].set_color(PURPLE)
- text10[5].set_color(ORANGE)
- text10.scale(0.7)
-
- text11 = TextMobject(r"$d \vec r$", r"=", r"$x'(t)dt$", r"$\vec i$", r"+", r"$y'(t)dt$", r"$\vec j$")
- text11.set_color_by_tex(r"\vec i", BLUE)
- text11.set_color_by_tex(r"\vec j", GREEN)
- text11[0].set_color(PINK)
- text11[2].set_color(PURPLE)
- text11[5].set_color(ORANGE)
- text11.scale(0.7)
-
- text12 = TextMobject(r"$d \vec r$", r"=", r"$dx$", r"$\vec i$", r"+", r"$dy$", r"$\vec j$")
- text12.set_color_by_tex(r"\vec i", BLUE)
- text12.set_color_by_tex(r"\vec j", GREEN)
- text12[0].set_color(PINK)
- text12[2].set_color(PURPLE)
- text12[5].set_color(ORANGE)
- text12.scale(0.7)
-
-
- text1.move_to(1*UP+2.7*RIGHT)
- text2.move_to(1*UP+2.7*RIGHT)
- text3.move_to(1*UP+2.7*RIGHT)
- text4.move_to(1*UP+2.7*RIGHT)
- text5.move_to(1*UP+2.7*RIGHT)
- text6.move_to(1*UP+2.7*RIGHT)
- text7.move_to(1*UP+2.5*RIGHT)
- text8.move_to(1*UP+2.7*RIGHT)
- text9.move_to(1*UP+2.7*RIGHT)
- text10.move_to(1*UP+2.7*RIGHT)
- text11.move_to(1*UP+2.7*RIGHT)
- text12.move_to(1*UP+2.7*RIGHT)
-
- brace1 = Brace(text7[0:2], DOWN, buff = SMALL_BUFF)
- brace2 = Brace(text7[3:6], UP, buff = SMALL_BUFF)
- brace3 = Brace(text7[7:], DOWN, buff = SMALL_BUFF)
- t1 = brace1.get_text(r"$\vec r'(t)$")
- t1.set_color(PINK)
-
- t2 = brace2.get_text(r"$\vec x'(t)$")
- t2.set_color(PURPLE)
-
- t3 = brace3.get_text(r"$\vec y'(t)$")
- t3.set_color(ORANGE)
-
-
- self.play(Write(text1))
- self.play(Transform(text1, text2))
- self.wait(1)
-
- self.play(Transform(text1, text3))
- self.wait(1)
-
- self.play(Transform(text1, text4))
- self.wait(1)
-
- self.play(Transform(text1, text5))
- self.wait(1)
-
- self.play(Transform(text1, text6))
- self.wait(1)
-
- self.play(Transform(text1, text7))
- self.wait(1)
-
- self.play(
- GrowFromCenter(brace1),
- FadeIn(t1),
- )
- self.wait()
- self.play(
- ReplacementTransform(brace1.copy(),brace2),
- ReplacementTransform(t1.copy(),t2)
- )
- self.wait()
- self.play(
- ReplacementTransform(brace2.copy(),brace3),
- ReplacementTransform(t2.copy(),t3)
- )
- self.wait()
-
- self.play(FadeOut(brace1), FadeOut(t1), FadeOut(brace2), FadeOut(t2), FadeOut(brace3), FadeOut(t3),)
- self.wait()
-
- self.play(Transform(text1, text8))
- self.wait(1)
-
- self.play(Transform(text1, text9))
- self.wait(1)
-
- self.play(Transform(text1, text10))
- self.wait(1)
-
- self.play(Transform(text1, text11))
- self.wait(1)
-
- self.play(Transform(text1, text12))
- self.wait(1)
-
-
-
-
-
generated by cgit (git 2.34.1) at 2024-12-21 10:21:40 +0000