Using derivative prove: `sec^-1 x + cosec^-1 x=pi/2`, for `|x|ge1`.

Using derivative prove: tan^-1x + cot^-1 x= pi/2

Using derivative, prove sec^(-1) x + cosec^(-1) x = frac{pi}{2}

Using derivative prove that sin^(-1) x + cos^(-1) x = (pi)/2

Using derivative, prove tan^(-1) x + cot^(-1) x = frac{pi}{2}

Derivative of y=sec^-1(1/(2x^2-1)) is

Integrate the following: sec^4 x cosec^2 x

The derivative of f(x)=x^(tan^-1 x) with respect to g(x)=sec^-1(1/(2x^2-1)) is

Find the derivative of the function y=f(x) using the derivative of the inverse function x= f^(-1) (y) in the following: y= log ( 2x-1)