Problem Set #5 Chain Rule, Implicit Differentiation 1. TRUE/FALSE: The Chain Rule de- 10. f(x) = In (x2) scribes how to evaluate the derivative of a composition of functions 11. f(x) = (12 + x) (34 + 2x) 3 2. TRUE/FALSE: The Generalized Power Rule states that do (9(x) 12) In the following exercises, compute the n (g(x)) 2-1 derivative e of the given function. 12 . ' ty ty - 7 3. TRUE/FALSE: (In (x2) ) = 13. x2/5 + 12/5 = 1 4. TRUE/FALSE: da dx dt dy dt dy 14. - =10 In the following exercises, compute the derivative of the given function. 15. 9 = 10 5. f(x) = (423 - x) 10 do not need to 16. re 5 know 6. f(t) = (3t - 2)5 17. ( 3x2 + 2y3) * = 2 7. h (t ) = 312 +t-1 18 - ty_ = 17 8. f(x) = (Ina + 12) 3 19. In (x2 + y' ) = e 9. f(x) = (x+=) 20. In (x2 + xy + y?) = 1