What is the derivative of this function $y = sin^-1(x^2)$ ?

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Answer 1 · 2016-09-05T17:28:03

$dy/dx = (2x)/sqrt(1 - x^4)$

$siny = x^2$

$cosy(dy/dx) = 2x$

$dy/dx = (2x)/cosy$

$dy/dx = (2x)/sqrt(1 - sin^2y)$

$dy/dx=(2x)/sqrt(1-(x^2)^2)$

$dy/dx = (2x)/sqrt(1 - x^4)$

Hopefully this helps!

What is the derivative of this function y = sin^-1(x^2)y = sin^-1(x^2)?