1) An antiderivative of a function f (x) is a function F (x) such that F ′(x) = f (x). Find any antideriva- tive of the following functions and check your answer by finding its derivative. (a) Find any antiderivative of f (x) = 12x2 + 8 sec2(x). F (x) = F ′(x) = (b) Find any antiderivative of g(x) = √x + 6 sin(2x) G(x) = G′(x) =

1) An antiderivative of a function f (x) is a function F (x) such that F ′(x) = f (x). Find any antideriva- tive of the following functions and check your answer by finding its derivative. (a) Find any antiderivative of f (x) = 12x2 + 8 sec2(x). F (x) = F ′(x) = (b) Find any antiderivative of g(x) = √x + 6 sin(2x) G(x) = G′(x) =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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