Chapter 3: Differentiation Rules.

3.3 Derivatives of Trigonometric Functions.

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)).