Merge branch 'master' into master

3 files changed, 22 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/__pycache__/file2_tangent_spaceCurve.cpython-38.pyc b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/__pycache__/file2_tangent_spaceCurve.cpython-38.pyc
new file mode 100644
index 0000000..8967b87
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/__pycache__/file2_tangent_spaceCurve.cpython-38.pyc
diff --git a/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file1_smooth_curves.gif b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file1_smooth_curves.gif
new file mode 100644
index 0000000..5801796
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/geometry-of-planes-and-curves/velocity-and-differentiability/file1_smooth_curves.gif
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))