Question

Derivative of y =sec^-1x^2

Answer 1

$y = {sec}^{ - 1} {x}^{2} \\ \\ \frac{dy}{dx} = \frac{1}{ {x}^{2} \sqrt{ { ({x}^{2} })^{2} - 1 } } \frac{d}{dx} {x}^{2} \\ \\ \frac{dy}{dx} = \frac{2x}{ {x}^{2} \sqrt{ {x}^{4} - 1 } } \\ \\ \frac{dy}{dx} = \frac{2}{x \sqrt{ {x}^{4} - 1 } }$