Question

differentiation of d/dx (sin^-1 x). ples answer this question differentiation .

Answer 1

$\frac{d}{dx} ( sin^{-1} (x) = \frac{1}{ \sqrt{ x^{2} -1} }$

if u are asking differntiation of d/dx(sin -1x), it will be double degree differentiation, u will have to again differntiate the result

Answer 2

$y = sin^{-1}x\\\\x = Sin\ y\\\\\frac{dx}{dy}=Cos\ y=\sqrt{1-x^2}\\\\\frac{dy}{dx}=\frac{1}{\sqrt{1-x^2}}$