For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the formfx) g(h(x)) Use non-identity functions for g(h) and h(x).)f(x) 7x2 -5x{{g(h), h(x)}(14x-5)f'(x)2V 7x2-5xX

Question
Asked Nov 1, 2019
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form
fx) g(h(x)) Use non-identity functions for g(h) and h(x).)
f(x) 7x2 -5x
{
{g(h), h(x)}
(14x-5)
f'(x)
2V 7x2-5x
X
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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form fx) g(h(x)) Use non-identity functions for g(h) and h(x).) f(x) 7x2 -5x { {g(h), h(x)} (14x-5) f'(x) 2V 7x2-5x X

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check_circleExpert Solution
Step 1

The given composite function is,

f(x)7x-5x
wheref is of the formf (x) g (h(x))
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f(x)7x-5x wheref is of the formf (x) g (h(x))

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Step 2

The following functions can be considered as the inside and outside function.

h(x)
8(x)
7x2-5x
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h(x) 8(x) 7x2-5x

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Step 3

Thus, the required composition func...

f(x)g(h(x))
8(7x-5x)
=7x-
- 5x
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f(x)g(h(x)) 8(7x-5x) =7x- - 5x

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Math

Calculus

Functions