How do you find the derivative of the function: arcsin(x^2)?

1 Answer
Jim G.
Feb 6, 2016

( 2x)/(sqrt(1-x^4)

Explanation:

d/dx(arcsinx) = 1/sqrt(1-x^2)

( this should be known as it is fairly standard )

for the question here the derivative is the same but x = x^2

differentiate using the color(blue)(" chain rule ")

rArr d/dx[arcsin(x^2)] = 1/sqrt(1- x^4) d/dx(x^2)

= (2x)/sqrt(1-x^4)

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