This calculus video tutorial explains how to find the derivative of trigonometric functions such as sinx, cosx, tanx, secx, cscx, and cotx. It contain examples and practice problems involving the use of the product rule, quotient rule, and chain rule.

Here is a list of topics:

1. Derivative of the six trigonometric functions – sin, cos, tan, cot, sec, and csc

2. Derivative of Polynomial Functions with Trig Functions

3. Product Rule – Derivative of x^2 sinx and x^3 cosx

4. Quotient Rule – Derivative of Fractions and Rational Functions

5. Chain Rule – Derivative of Composite functions

6. Derivative of sin(5x), cos(x^3), sec(x^2), tan(sin4x), sin^2(3x)

7. Trig functions inside of other trigonometric functions

8. prove d/dx (secx) = secxtanx

9. prove d/dx (cotx) = -csc^2 x

10. trigonometric proofs