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!