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

Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate using the Power Rule.
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 .
Reorder terms.
Find the Derivative – d/dx y=arctan(x^3)