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The derivative of the function, f(x)=c...

The derivative of the function,
`f(x)=cos^(-1){(1)/(sqrt(13))(2cosx-3sinx)}+sin^(-1){(1)/(sqrt(13))(2cosx+3sinx)}w.r.tsqrt(1+x^(2))` is

A

`2x`

B

`2sqrt(1+x^(2))`

C

`(2)/(x)sqrt(1+x^(2))`

D

`(2x)/(sqrt(1+x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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