Question
Asked Dec 16, 2019
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16. Use the definition of the derivative to find the derivative of the function
f(x) = 3/x and g(x) = x² – 4 + 2.
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16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) = x² – 4 + 2.

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Expert Answer

Step 1

Given,

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3 f (x)=- and g(x)=x² – 4x + 2

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Step 2

Definition of derivative say that  - The derivative of function f(x) with respect to x is

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f(x+h)- f (x) f"(x) = lim

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Step 3

Part (a)...

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3 S(x) = and f(x+h) = %3D x +h f(x+h)- f (x) = f'(x)= lim 3 = f'(x) = lim r+h__x 3x – 3(x+h) x(x+h) = f'(x) = lim -3K * hx(x+h) =f (x)= lim -3 a f'(x)= x(x) -3 S'(x)=- x*

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Math

Calculus