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If f(x)=x^(n-1)+x^(n-2)+….+1,-1ltxlt1 th...

If f(x)=`x^(n-1)+x^(n-2)+….+1,-1ltxlt1` then f'(x)=…….

A

`(1)/((x-1)^(2))`

B

`(1)/(x-1)`

C

`(1)/(x^(n)-1)`

D

`((n-1)x^(n)-nx^(n-1)+1)/((1-x)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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