To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Differentiate using the Power Rule which states that is where .

Combine fractions.

Combine and .

Combine and .

Find the Derivative – d/dx y=arcsin(x^3)