The table below represents values of differentiable functions, f and g, and their first derivatives. Use the table of values to answer the questions that follow. x -3 -2 1 2 f(x) 8 3 -2 -4 f'(x) -4 -2 5 2 g(x) 6 3 2 -4 g'(x) 2 -3 -6 A. Is there a value of r on -3 < r < 2 such that f(r) = 0 ? Give a reason for your answer. B. Approximate the value of g" (1.5). What does this value say about the graph of g when x = 1.5? C. If h(x) = [f(x)]² + g(x), what is the equation of the line tangent to the graph of h at x = -2?

The table below represents values of differentiable functions, f and g, and their first derivatives. Use the table of values to answer the questions that follow. x -3 -2 1 2 f(x) 8 3 -2 -4 f'(x) -4 -2 5 2 g(x) 6 3 2 -4 g'(x) 2 -3 -6 A. Is there a value of r on -3 < r < 2 such that f(r) = 0 ? Give a reason for your answer. B. Approximate the value of g" (1.5). What does this value say about the graph of g when x = 1.5? C. If h(x) = [f(x)]² + g(x), what is the equation of the line tangent to the graph of h at 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

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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