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# AP Derivatives

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### AP Derivatives

1. 1. Derivative?f(x)= sinx
3. 3. Derivative?xxf1)( =
5. 5. What does this mean??lim0=−+→ hee xhxh
6. 6. Answer:It is asking for thederivative of ex. Thenotation is the limitdefinition of the derivative(difference quotient)
7. 7. Derivative?)()(xgxfy =
8. 8. Answer-Quotient Rule( )LowLowHighDLowLowDHighyxgxgxfxfxgy−=−=)()()()()( 2
9. 9. Derivative?f(x)= ax
11. 11. Derivative?f(x)= cotx
13. 13. Derivative?f(x)= secx
15. 15. Derivative?f(x)= arctanx= tan-1x
17. 17. Derivative?f(x)= cosx
19. 19. Derivative?f(x)= ex
21. 21. Derivative?f(x)= arccosx= cos-1x
23. 23. Derivative?f(x)= tanx
25. 25. Derivative?f(x)= arccscx= csc-1x
27. 27. Derivative?f(x)= lnx
29. 29. Derivative?f(x)= cscx
31. 31. Derivative?y=f(x)g(x)
33. 33. Derivative?f(x)= arcsinx= sin-1x
35. 35. Derivative?f(x)= arccotx= cot-1x