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If : f(x)=(1)/(sqrt(x^(2)+a^(2))+sqrt(x^...

If : `f(x)=(1)/(sqrt(x^(2)+a^(2))+sqrt(x^(2)+b^(2)))" then: "f'(x)=`

A

`(x)/((a^2-b^2))[(1)/(sqrt(x^2+a^2))-(1)/(sqrt(x^2+b^2))]`

B

`(x)/((a^2+b^2))[(1)/(sqrt(x^2+a^2))-(2)/(sqrt(x^2+b^2))]`

C

`(x)/((a^2-b^2))[(1)/(sqrt(x^2+a^2))+(1)/(sqrt(x^2+b^2))]`

D

`(a^2+b^2)[(1)/(sqrt(x^2+a^2))-(2)/(sqrt(x^2+b^2))]`

Text Solution

Verified by Experts

The correct Answer is:
A
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