diff options
| -rw-r--r-- | FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file2_Differentials.py | 31 |
1 files changed, 18 insertions, 13 deletions
diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file2_Differentials.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file2_Differentials.py index b40be70..1025210 100644 --- a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file2_Differentials.py +++ b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Total-Differential/file2_Differentials.py @@ -1,16 +1,21 @@ from manimlib.imports import* - -class firstScene(ThreeDScene): - +#---- visualization of the differentials along the axes +class differentials(ThreeDScene): def construct(self): - axes = ThreeDAxes() + axes = ThreeDAxes() + label_x = TextMobject("$x$").shift([5.5,-0.3,0]).fade(0.4) #---- x axis + label_y = TextMobject("$y$").shift([-0.5,5.5,0]).rotate(-4.5).fade(0.4) #---- y axis - s = Rectangle(color = '#00FF7F',fill_opacity=0.3).shift(2.3*UP+3.9*LEFT).scale(1).rotate(0.2,UP) #----surface z = f(x,y) + surface = ParametricSurface( + lambda u, v: np.array([ + u, + v, + u**2+v**2 + ]),u_min=-1,u_max=1, v_min=-1,v_max=1).set_color("#FF69B4").shift([0,2.5,0.3]).scale(1.2) #----surface z = f(x,y) - label_y = TextMobject("$y$").shift(5*RIGHT+0.4*DOWN).rotate(1.571) - label_x = TextMobject("$x$").shift(-0.1*UP+5.6*RIGHT).scale(0.5) + plane = Rectangle(color = '#E6E6FA',fill_opacity = 1).scale(3).shift(-1*RIGHT+3*UP).fade(0.9) @@ -27,8 +32,8 @@ class firstScene(ThreeDScene): label_dz= TextMobject("$dz$").scale(0.4).shift(5.3*RIGHT+0.4*UP) - l3 = Line(color = '#FFDAB9').scale(0.8).shift(1.95*UP+0.7*RIGHT).rotate(1.571,DOWN).fade(0.7) - l4 = Line(color = '#FFDAB9').scale(0.6).shift(2.86*UP+0.9*RIGHT).rotate(1.571,DOWN).fade(0.7) + l3 = Line(color = '#FFDAB9').scale(0.8).shift(1.95*UP+0.7*RIGHT).rotate(1.571,DOWN).fade(0.2) + l4 = Line(color = '#FFDAB9').scale(0.6).shift(2.86*UP+0.9*RIGHT).rotate(1.571,DOWN).fade(0.2) line_y1 = DashedLine(color = '#00BFFF').scale(1.3).shift(0.82*UP+3.25*RIGHT).rotate(1.571) line_y2 = DashedLine(color = '#00BFFF').scale(1.7).shift(1.2*UP+2.8*RIGHT).rotate(1.571) @@ -43,12 +48,12 @@ class firstScene(ThreeDScene): label = TextMobject("$f(x,y)$").scale(0.6).shift(4*RIGHT+3*UP) - self.add(axes) self.set_camera_orientation(phi=75*DEGREES,theta=10*DEGREES) + self.add(axes) + self.add(label_x) + self.add(label_y) self.play(Write(plane)) - self.play(ShowCreation(label_y)) - self.add_fixed_in_frame_mobjects(label_x) - self.play(Write(s)) + self.play(Write(surface)) self.add_fixed_in_frame_mobjects(label) self.wait(1) self.play(Write(d),Write(d2)) |