Assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of the function h(x). h(x) = 5f(x) + g(x) 2 O h'(x) = 5f'(x) – g'(x) O h'(x) = 5f'(x) + g'(x) %3D 2 O h'(x) = 5f(x)f'(x) + g(x)g'(x) h'(x) = {r'(x) + g'(x))

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of the function h(x).
h(x) = 5f(x) +
g(x)
2
O h'(x) = 5f'(x) –
g'(x)
O h'(x) = 5f'(x) +
g'(x)
%3D
2
O h'(x) = 5f(x)f'(x) +
g(x)g'(x)
h'(x) = {r'(x)
+ g'(x))
Transcribed Image Text:Assume that f(x) and g(x) are both differentiable functions for all x. Find the derivative of the function h(x). h(x) = 5f(x) + g(x) 2 O h'(x) = 5f'(x) – g'(x) O h'(x) = 5f'(x) + g'(x) %3D 2 O h'(x) = 5f(x)f'(x) + g(x)g'(x) h'(x) = {r'(x) + g'(x))
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