This document provides answers to derivatives of common trigonometric functions such as sinx, cosx, tanx, cotx, secx, and cscx using formulas like the quotient rule, product rule, and chain rule. It also discusses the limit definition of the derivative and asks about the derivative of a product of two functions and the derivative of a function of another function.

1. Derivative? f(x)= sinx

2. Answer f'(x)= cosx

3. Derivative?

4. Answer

5. Derivative?

6. Answer-Quotient Rule

7. Derivative? f(x)= cotx

8. Answer f'(x)= -csc 2 x

9. Derivative? f(x)= secx

10. Answer f'(x)= secxtanx

11. Derivative? f(x)= cosx

12. Answer f'(x)= -sinx

13. Derivative? f(x)= tanx

14. Answer f'(x)= sec 2 x

15. Derivative? f(x)= cscx

16. Answer f'(x)= -cscxcotx

17. Derivative? y=f(x)g(x)

18. Answer-Product Rule y'= f'(x)g(x)+f(x)g'(x)

19. Derivative? y= f(g(x))

20. Answer-Chain Rule y'= f'(g(x))g'(x)

21. Limit Definition of the Derivative (Difference Quotient)?