1 files changed, 32 insertions, 0 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Critical-Points/file1_Critical_Point_of_a_function.py b/FSF-2020/approximations-and-optimizations/Critical-Points/file1_Critical_Point_of_a_function.py
new file mode 100644
index 0000000..0b15ebf
--- /dev/null
+++ b/FSF-2020/approximations-and-optimizations/Critical-Points/file1_Critical_Point_of_a_function.py
@@ -0,0 +1,32 @@
+from manimlib.imports import*
+import math as m
+
+
+class CriticalPoint(ThreeDScene):
+    def construct(self):
+    
+        axes = ThreeDAxes()
+        surface = ParametricSurface(
+            lambda u, v: np.array([
+                u,
+                v,
+                m.exp(-10*u**2-10*v**2) #---- function equation
+            ]),u_min=-1,u_max=1, v_min=-1,v_max=1,checkerboard_colors=[TEAL_E,TEAL_D,TEAL_C]).fade(0.6).scale(3.5).shift([0,0,1.5])
+        
+        l1 = Line([0,0,3.75],[0,0,0],color = '#800000')
+        
+        d = Dot([0,0,3.75],color = '#800000')
+        f_text = TextMobject("Critical Point of a function",color = YELLOW).shift([3,0,3.7]).scale(0.7)
+
+        self.add(axes)
+        self.set_camera_orientation(phi=75*DEGREES,theta=90*DEGREES) 
+        self.begin_ambient_camera_rotation(rate=0.4)   
+        self.play(Write(surface))
+        self.wait(1)
+        self.play(Write(l1))
+        self.play(Write(d))
+        self.wait(2)
+        self.move_camera(phi=0 * DEGREES,theta = 90*DEGREES)
+        self.add_fixed_in_frame_mobjects(f_text)
+        self.wait(1)
+