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Diffstat (limited to 'FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file2_tangent_space_curve.py')
-rw-r--r--FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file2_tangent_space_curve.py22
1 files changed, 22 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file2_tangent_space_curve.py b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file2_tangent_space_curve.py
new file mode 100644
index 0000000..67c675e
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file2_tangent_space_curve.py
@@ -0,0 +1,22 @@
+from manimlib.imports import *
+
+class tangent(ThreeDScene):
+ def construct(self):
+ axes = ThreeDAxes()
+ self.set_camera_orientation(phi = 125*DEGREES, theta = 135*DEGREES)
+ h = ParametricFunction(
+ lambda t: np.array([
+ 4*(t**3) + 5,
+ t**2 + 2*(t**4),
+ -2*np.log(2*t)
+ ]), t_min = -3, t_max = 1.18
+ ).shift(5*LEFT)
+ tgtR = Line((4,3,-2*np.log(2)), (19.5, 16, -4.772588), color=YELLOW)
+ tgtL =Line((4,3,-2*np.log(2)), (-11.5, -10, 2), color=YELLOW)
+ dot = Dot((4,3,-2*np.log(2)), color=RED, radius=0.08)
+ self.play(FadeIn(axes),FadeIn(h), FadeIn(dot))
+ self.begin_ambient_camera_rotation(rate=0.4)
+ self.wait(2)
+ self.play(FadeIn(tgtL), FadeIn(tgtR))
+ self.wait(5)
+ self.play(FadeOut(axes), FadeOut(h), FadeOut(dot), FadeOut(tgtL), FadeOut(tgtR))