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AP Calculus AB Power. Product, and Quotient Rules Worksheet Name ________________________________________ Find the derivative of each function. 1. f ( x) 3x 2 5 x 2 3 3. f ( x) 2 x 7 x 5. f ( x) 2. g ( x) 4 x 4 5 x3 2 x 3 2 x2 x 2 7 x 18 x9 4. g ( x) 8 x 5 7 x 4 6. f ( x) 5 x x 2 5 x 24 x 8 x 3 7 x 3 4 x 2 7. f ( x) 2 x 2 5x 2 8 x7 3 8. h( x) x 3 x 3 9. s( x) 2 x sec( x) 4 x 10. f ( x) 3x e 3 x 11. f ( x) 7 x e 2 12. f ( x) 5 x cos( x) 13. h( x) 2e x x 4 3 2 x 14. f ( x) 4 x 5x 2 x e 15. f ( x) tan( x) 2 x2 1 16. g ( x) sin( x) ex 5 17. f ( x) x 2 3x 2 x3 18. f ( x) 2e x x 2e x 2 x 4 cot( x) 19. h( x) 3x 2 20. f ( x) csc( x) 4 xe x AP Calculus AB Chain Rule Worksheet Name ____________________________________ Find the derivative of each function. 1. f ( x) (2 x 2 5 x)3 2. f ( x) 5 x3 2 x 3. y 3sin( x 3) 4. y 2cos( x 2 2) 5. g ( x) sin 2 (3x 2 ) 6. h( x) sec3 ( x 2 5) 7. f ( x) 3x3e2 x 5 8. g ( x) 5x2e x 9. y 3x 2 4 x 2 5 x 1 10. h(t ) 11. y 1 3 x 4x 1 3 2 12. g (t ) 2 3 x 2 3 t 3t 3 5t 3 3 4 2t 5t 3 3 13. g (m) sin(cos(m)) 14. f ( x) cos(tan x) 15. h( x) x3 2( x 2 1)4 16. h(m) m2 1(m2 1)3 t2 2 t2 2 18. f (t ) 17. f (t ) 3 4 t3 8 t3 8 7 4 5 19. h( x) (2 x 5) (3x 8) 2 3 20. g (n) (3x 2)(4 x 1) 2 3 21. f (t ) csc (t ) 4 2 22. f (t ) cot (2t ) 23. h( x) e 25. h( x) 2 x3 x 2 3x 3 5 2x2 27. f ( x) 5sin x 3 4 x 2 3 x 24. f ( x) e 26. f ( s ) 2s3 4 s 2 5s 28. f ( x) 2e 4x