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from manimlib.imports import *
class derivative1(GraphScene, Scene):
def setup(self):
GraphScene.setup(self)
CONFIG = {
"y_max" : 4,
"y_min" : -2,
"x_max" : 4,
"x_min" : -2,
"y_tick_frequency" : 1,
"x_tick_frequency" : 1,
"axes_color" : WHITE,
"num_graph_anchor_points": 3000, #this is the number of points that graph manim
"graph_origin" : ORIGIN+2*DOWN+4*LEFT,
"x_labeled_nums": list(range(-2,5)),
"y_labeled_nums": list(range(-2,5)),
"x_axis_label":"$x$",
"y_axis_label":r"$f(x)=y= 3-\frac { 3 }{ 2 } x$",
"x_axis_width": 5,
"y_axis_height": 5,
}
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)
text1 = TextMobject("")
text2 = TexMobject("{y}_{2}-{y}_{1}")
text2 = TexMobject("{x}_{2}-{x}_{1}")
text3 = TexMobject(r"m\quad =\frac { { y }_{ 2 }-{ y }_{ 1 } }{ { x }_{ 2 }-{ x }_{ 1 } }").move_to(np.array([3,0,0]))
text4 = TexMobject(r"m\quad =\frac { 3 }{ -2 }").move_to(np.array([3,0,0]))
text5 = TexMobject(r"m\quad =\quad -1.5").move_to(np.array([3,0,0]))
self.setup_axes()
graph_1 = self.get_graph(lambda x : 3-1.5*x, color = GREEN_SCREEN, x_min = -1, x_max = 3)
graph_2 = self.get_graph(lambda x : 3.1-1.5*x, color = ORANGE, x_min = 0, x_max = 2)
dot1 = Dot()
dot2 = SmallDot(self.graph_origin+1.7*RIGHT, color = PINK)
dot3 = SmallDot(self.graph_origin+2.5*UP, color = RED_B)
vec1 = Vector(2.5*DOWN, color = PINK).shift(self.graph_origin+2.5*UP)
vec2 = Vector(1.7*RIGHT, color = RED_B).shift(self.graph_origin)
brace1 = Brace(vec1, LEFT)
brace2 = Brace(vec2, DOWN)
br1text = brace1.get_text(r"${y}_{2}-{y}_{1}$").next_to(brace1, LEFT)
br2text = brace2.get_text(r"${x}_{2}-{x}_{1}$").next_to(brace2, DOWN)
self.play(ShowCreation(graph_1), ShowCreation(dot2), ShowCreation(dot3))
self.play(MoveAlongPath(dot1, graph_2), ShowCreation(vec1), ShowCreation(vec2), run_time = 3)
self.wait(1)
self.play(ShowCreation(brace1), ShowCreation(brace2))
self.play(ShowCreation(br1text), ShowCreation(br2text))
self.wait(2)
self.play(GrowFromCenter(text3))
self.wait(2.5)
self.play(ReplacementTransform(text3, text4))
self.wait(2)
self.play(ReplacementTransform(text4, text5))
self.wait(2)
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