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Use the definition of the derivative to find ffor each function fin Exercises 39-54.

f(x)=x2-1x2-x-2

Short Answer

Expert verified

The derivative isf'(x)=2xx2-x-2-(2x-1)x2-1x2-x-22

Step by step solution

01

Given information

Given functionf(x)=x2-1x2-x-2

02

Use the chain rule and calculate

Calculating, we get

f(x)=x2-1x2-x-2f'(x)=(x2-x-2)(2x)-(x2-1)(2x-1)(x2-x-2)2f'(x)=2x(x2-x-2)-(2x-1)(x2-1)(x2-x-2)2

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