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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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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