Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with values as given in the following table. Use the table to calculate the following derivatives. 1. If h(x) = xf(x) + 4g(x) then, h'(1) = f(x) g(x) 3. If h(x) = 2x + f(x)g(x) then, h'(3) 1 g(x) 4. If h(x) f(x) If you believe that a value is not defined, type 'ND' 2. If h(x) = + then, h' (2) then, h'(4) x 1 2 3 4 f(x) 0 2 0 -6 g(x) 0 1 8 27 df 40 -4 -8 dx dg dx 03 12 27

Using the Rules for Finding the Derivative of a Function. For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with values as given in the following table. Use the table to calculate the following derivatives. 1. If h(x) = xf(x) + 4g(x) then, h'(1) = f(x) g(x) 3. If h(x) = 2x + f(x)g(x) then, h'(3) 1 g(x) 4. If h(x) f(x) If you believe that a value is not defined, type 'ND' 2. If h(x) = + then, h' (2) then, h'(4) x 1 2 3 4 f(x) 0 2 0 -6 g(x) 0 1 8 27 df 40 -4 -8 dx dg dx 03 12 27

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 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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