Find a function whose derivative is `x^2/(x+1)`

Prove : Find a function whose derivative is 2^(2x-1)+ 2^(1-2x

Find a function whose derivative is (x^(4)-1)/(x(x-1))

Find the function whose derivative is 3sinx cos^(2) x - sin^(3) x

Find the derivatives of the function cos ec ^(-1) (e ^(2x +1))

Find the derivative of the function (a-x)/(a +x)

Find the derivative of the function sin ^(2) x (sin ^(-1) x ) ^(2)

Find the derivatives of the function x tan ^(-1) x

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)