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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(a^(2) + b^(2))]`

B

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

Text Solution

Verified by Experts

The correct Answer is:
A
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