1 Answer | Add Yours
`y = tan^(-1) x^2`
To determine the derivative of y, use the formula `(tan ^(-1) u)' = 1/(1+u^2) * u'` .
`y ' = 1/(1+ (x^2)^2) * (x^2)' = 1/(1+x^4) * 2x`
`y ' = (2x)/(1+x^4)`
Hence, the derivative of `y = tan^(-1) x^2` is `y' = (2x)/(1+x^4)` .
We’ve answered 317,708 questions. We can answer yours, too.Ask a question