Question
Asked Dec 16, 2019
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23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of
the following functions:
f(x)
iv) h(x) = (f(x))².
g(x)
i) h(x) = 2f(x)–3g(x) ii) h(x) = f(x)g(x) (iii) h(x) =
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23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following functions: f(x) iv) h(x) = (f(x))². g(x) i) h(x) = 2f(x)–3g(x) ii) h(x) = f(x)g(x) (iii) h(x) =

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Expert Answer

Step 1

Given:

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S(5) = 4, f"(5) =-1, 8(5) =2, g'(5)=-3

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Step 2

i) The given function is,

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h(x)=25(x)-38(x) Compute the derivative as follows. W (x)= 2f"(x)-3g'(x) K (5) = 2f"(5)– 3g'(5) = 2(-1)– 3(-3) =-2 +9 =7

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Step 3

ii) The given fun...

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h(x) = f (x)g(x) %3D Compute the derivative as follows. K(x)= f'(x)g(x)+g'(x)f (x) li (5) = f"(5) g(5)+ g'(5)f(5) =(-1)(2) +(-3)(4) (By product rule) =-2 -12 =-14

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Tagged in

Math

Calculus

Derivative