1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
|
from manimlib.imports import*
import math
#---- tangent plane does not exists for f(x,y): sqrt(x**2+y**2) at origin
class TangenttoSurface(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
#----f(x,y): sqrt(x**2+y**2)
p = ParametricSurface(
lambda u, v: np.array([
u,
v,
math.sqrt(u**2+v**2)
]),v_min = -1,v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_C,TEAL_D],
resolution = (20, 20)).scale(1)
self.set_camera_orientation(phi = 75 * DEGREES)
d = Dot([0,0,0],color = '#800000') #----critical point
d_text = TextMobject("$(0,0)$").scale(0.5).shift(0.2*DOWN)
f_text = TextMobject("$f$ is not differentiable at origin").scale(0.5).to_corner(UL)
self.begin_ambient_camera_rotation(rate=0.1)
self.add(axes)
self.play(Write(p),Write(d))
self.add_fixed_in_frame_mobjects(d_text)
self.add_fixed_in_frame_mobjects(f_text)
self.wait(2)
|
