Suppose that f and g are differentiable functions, and suppose that you know the following values of the functions and their derivatives: f(-2) = 5 f'(-2) = 7 g(-2) = 8 g'(-2) = 8 Compute d dx (f(x) · g(x))|__ x=-2

Suppose that f and g are differentiable functions, and suppose that you know the following values of the functions and their derivatives: f(-2) = 5 f'(-2) = 7 g(-2) = 8 g'(-2) = 8 Compute d dx (f(x) · g(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 47CR

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Question

Suppose that f and g are differentiable functions, and suppose that you know the following values of the functions and their
derivatives:
f(-2) = 5
f'(-2) = 7
g(-2) = 8
g' (-2) = 8
Compute
d
(f(x) · g(x))|
da (
x=-2
Round to 2 decimal places, if necessary.

Expert Solution

Step 1

$g i v e n f (- 2) = 5 f' (- 2) = 7 g (- 2) = 8 g' (- 2) = 8 w e k n o w \frac{d}{d x} (a . b) = a \times \frac{d b}{d x} + b \times \frac{d a}{d x}$

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