Find the derivative of tan^(-1)((sqrt(1+...

Find the derivative of `tan^(-1)((sqrt(1+x^2)-1)/(x))` with repect to `tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))` at x=0.

Verified by Experts

The correct Answer is:

`(1)/(4)`

Similar Questions

Explore conceptually related problems

or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect to tan^(-1) ((2xsqrt(1-x^2))/(1-2x^2)) at x=0.

Find the derivatives of y="tan"^(-1) sqrt((1-x)/(1+x))

find derivative of (tan^(-1)x^2)

Differentiate tan^-1((sqrt(1+x^2)-1)/x) with respect to tan^-1 x

Differentiate tan^(-1)(x/sqrt(1-x^2)) with respect to sin^(-1)((2x)*sqrt(1-x^2)),

Find the derivatives of "tan"^(-1) sqrt((1+cos2x)/(1-cos2x))

Find the differential coefficient of sin^(-1)((2x)/(1+x^(2))) with respect to tan^(-1)((2x)/(1-x^(2)))

Find the differential coefficient of sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)/(1-x^2)) .

Find the range of tan^(-1)((2x)/(1+x^2))