What is the derivative of $y = {tan}^{- 1} (x^{2})$ $y= tan^-1(x^2)$ ?

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Answer 1 · 2015-12-26T17:59:22

The derivative of $arctan f (x)$ $arctanf(x)$ is

$d(arctanf(x))/dx=(f'(x))/(1+(f(x))^2)$

where $f(x)=x^2$ hence

$d(arctanx^2)/dx=(2x)/(1+(x^4))$

What is the derivative of y= tan^-1(x^2)y=tan−1(x2)y= tan^-1(x^2)?