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

f(x)=1x2-1

Short Answer

Expert verified

The derivative isf'(x)=-1x2-12

Step by step solution

01

Given information

Given functionf(x)=1x2-1

02

Use the rule to calculate the derivative

Calculating, we get

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

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