Engineering Board Exam Reviewer · Derivatives of Exponential and Logarithmic Functions · medium

Find y' if y= +1/x-1.

1. 2x2 - 1
2. - 2x2 - 1
3. 1/x + 1 + 1/x - 1
4. - 2≤ft(x - 1 )2

Answer

B. - 2x2 - 1

Solution

Write y= (x+1)- (x-1). Then y'=1/x+1-1/x-1=(x-1)-(x+1)/x2-1=-2/x2-1.

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