Differentiate the following functions with respect to `(sin^(-1)x^4)^4`

Explanation

`=frac{d}{dx}(sin ^{-1} {x}^{4})^{4}`


`=4(sin ^{-1} {x}^{4})^{3} times frac{d}{dx}(sin ^{-1} x^{4})`


`=frac{4(sin ^{-1} {x}^{4})^{3}}{sqrt{1-{x}^{5}}} times frac{d}{dx}(x^{4})`


`=frac{16 x^{3}(sin ^{-1} x^{4})^{3}}{sqrt{1-x^{5}}}`