Rename FSF-2020/approximations-and-optimizations/Critical-Points/file3_Tangent_plane_at_extrema_of_a_function.py to FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Critical-Points/file3_Tangent_plane_at_extrema_of_a_function.py

1 files changed, 0 insertions, 73 deletions

diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file3_Tangent_plane_at_extrema_of_a_function.py b/FSF-2020/approximations-and-optimizations/Critical-Points/file3_Tangent_plane_at_extrema_of_a_function.py
deleted file mode 100644
index e674113..0000000
--- a/FSF-2020/approximations-and-optimizations/Critical-Points/file3_Tangent_plane_at_extrema_of_a_function.py
+++ /dev/null
@@ -1,73 +0,0 @@
-from manimlib.imports import*  
-
-#---- tangent plane to minima of the function
-class firstScene(ThreeDScene):
-    def construct(self):
-
-        axes = ThreeDAxes()
-        label_x = TextMobject("$x$").shift([5.5,-0.5,0]) #---- x axis
-        label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5) #---- y axis
-
-        #---- parabola: f(x,y) = x**2 + y**2
-        parabola = ParametricSurface(  
-            lambda u, v: np.array([
-                u,
-                v,
-                u**2+v**2
-            ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [GREEN_E,GREEN_D,GREEN_C,GREEN_B], resolution = (20, 20)).scale(1)     
-        
-        d = Dot(np.array([0,0,0]), color = '#800000') # ---- critical point     
-
-        tangent_plane = Rectangle(fill_color = '#C0C0C0', fill_opacity = 0.3).move_to(ORIGIN).fade(0.7)  # ----tangent plane         
-     
-        parabola_text = TextMobject("Minimum with horizontal tangent plane").scale(0.7).to_corner(UL)  
-
-        self.set_camera_orientation(phi = 75 * DEGREES, theta = 45 * DEGREES)  
-        self.begin_ambient_camera_rotation(rate = 0.2) 
-        self.add(axes)
-        self.add(label_x)
-        self.add(label_y)
-        self.add_fixed_in_frame_mobjects(parabola_text)
-        self.wait(1) 
-        self.play(Write(parabola))
-        self.play(ShowCreation(d))
-        self.wait(1)
-        self.play(ShowCreation(tangent_plane))     
-        self.wait(2)
-        self.play(FadeOut(parabola_text),FadeOut(parabola),FadeOut(tangent_plane),FadeOut(d),FadeOut(label_x),FadeOut(label_y),FadeOut(axes))  
-
-
-#---- tangent plane to maxima of the function
-class secondScene(ThreeDScene):
-    def construct(self):
-
-        axes = ThreeDAxes()
-        label_x = TextMobject("$x$").shift([5.5,-0.5,0]) #---- x axis
-        label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5) #---- y axis   
-        
-        #----parabola: g(x,y) = -x**2-y**2
-        parabola = ParametricSurface(
-            lambda u, v: np.array([
-                u,
-                v,
-                -u**2-v**2
-            ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [BLUE_E,BLUE_D,BLUE_C,BLUE_B], resolution = (20, 20)).scale(1)
-        
-        d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point     
-
-        tangent_plane = Rectangle(fill_color = '#C0C0C0',fill_opacity = 0.3).move_to(ORIGIN).fade(0.7) #---- tangent plane         
-
-        parabola_text = TextMobject("Maximum with horizontal tangent plane").scale(0.7).to_corner(UL)        
-
-        self.set_camera_orientation(phi = 75 * DEGREES, theta = 45 * DEGREES)  
-        self.begin_ambient_camera_rotation(rate = 0.2) 
-        self.add(axes)
-        self.add(label_x)
-        self.add(label_y)
-        self.add_fixed_in_frame_mobjects(parabola_text)
-        self.wait(1) 
-        self.play(Write(parabola))
-        self.play(ShowCreation(d))
-        self.wait(1)
-        self.play(ShowCreation(tangent_plane))     
-        self.wait(2)