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

1 Answer
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) #