Chapter 3: Differentiation Rules.
Chapter 3: Differentiation Rules.
Derivatives of Trigonometric Functions.
0:00 Derivatives of Trigonometric Functions.
0:30 Lim as x approaches 0 of (Sin(x)) / (x).
14:27 Lim as x approaches 0 of (Cos(x)-1) / (x).
17:49 Lim as x approaches 0 of (Sin(3x)) / (x).
19:25 Lim as x approaches 0 of (Sin(3x)) / (Sin(4x)).
20:45 Theorem and proof of d/dx (Sin(x) = Cos (x).
24:10 Proof of d/dx (Tan(x) = Sec^2 (x)).
25:52 Derivatives of Trigonometric Functions Table Summary.
27:05 d/dx (Sin(x) )= Cos (x) as a graph.
28:30 d/dx (Cos(x)) = Sin (x) as a graph.
29:30 Example: Find d^2/ dx^2 of (Sec (x)).