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In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both differentiable on (3,6) and f'(5) = 0, g'(5) = 0, f" (5)=6 and g" (5) = -2. 1. If h(x) = f(x) sinh(x - 5), then what is the rate of change of h with respect to x, when x = 5? A.) 6 B.) 0 C.) -6 D.) cannot be determined

In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both differentiable on (3,6) and f'(5) = 0, g'(5) = 0, f" (5)=6 and g" (5) = -2. 1. If h(x) = f(x) sinh(x - 5), then what is the rate of change of h with respect to x, when x = 5? A.) 6 B.) 0 C.) -6 D.) cannot be determined

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both differentiable on (3,6) and f'(5) = 0, g'(5) = 0, f" (5) = 6 and g(5)= -2. 1. If h(x) = f(x) sinh(x - 5), then what is the rate of change of h with respect to x, when x = 5? A.) 6 B.) 0 C.) -6 D.) cannot be determined
Transcribed Image Text:In the following, let f and g be functions such that f' and g' are both continuous on [3,6] and both differentiable on (3,6) and f'(5) = 0, g'(5) = 0, f" (5) = 6 and g(5)= -2. 1. If h(x) = f(x) sinh(x - 5), then what is the rate of change of h with respect to x, when x = 5? A.) 6 B.) 0 C.) -6 D.) cannot be determined
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