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Asked Sep 22, 2019
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3.3.24
Find the derivative of the following function.
8w-7
g(w)=5w-2
8w-7
The derivative of g(w)=/w- 2
is
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:Question Help 3.3.24 Find the derivative of the following function. 8w-7 g(w)=5w-2 8w-7 The derivative of g(w)=/w- 2 is

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Expert Answer

Step 1

Determine the derivative of function g(w) is 

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8w-7 g(x)w2

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Step 2

Quotient rule for derivative.

Let u and v are the function of x.

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d d —и —и—v dx 1 d u dx (v) dx

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Step 3

Apply the Quotient rule ...

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g(w)8w7 Sw-2 d (8w-7)-(8w-7)(5/w-2) dx d - (g(w)) dx (5/W-2) 1 (5w-2)(8)-(81w-7)(5 . 2 w (5w-2) (g(w)) dx 1 (5w-2)(8)-(81-7)(5 2 w d - (g(w)) dx (5ปw - 2) -(g(w)) = 2Vw(5./w - 2)(8) - (8w -7)(5) 2w (5w-2) d dx 80w-32w 40w+ 35 d -(g(w))= dx 2w (5w-2) -(g(w)) = 40w-32/w+35 dx d 2w(5w-2

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Tagged in

Math

Calculus

Derivative