Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x=3. Find the derivatives with respect to x of the combinations below at the given values of x a. 3f(x), x=2 e. f(g(x)), x=2 b. f(x) + g(x), x=3 f. √f(x), x=2 a. The derivative of 3f(x) with respect to x at x = 2 is (Simplify your answer. Type an exact answer, using as needed.) c. f(x) g(x), x= 3 1 g(x) g. , x=3 (...) X 2 3 f(x) 7 1 g(x) 3 -5 f'(x) 3 7 * d. f(x) g(x)' -6 3 x=2 h √²²(x)+g²(x), x=2

Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x=3. Find the derivatives with respect to x of the combinations below at the given values of x a. 3f(x), x=2 e. f(g(x)), x=2 b. f(x) + g(x), x=3 f. √f(x), x=2 a. The derivative of 3f(x) with respect to x at x = 2 is (Simplify your answer. Type an exact answer, using as needed.) c. f(x) g(x), x= 3 1 g(x) g. , x=3 (...) X 2 3 f(x) 7 1 g(x) 3 -5 f'(x) 3 7 * d. f(x) g(x)' -6 3 x=2 h √²²(x)+g²(x), x=2

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.CR: Chapter 4 Review

Problem 38CR: Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3x

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