# What is the derivative of #f(x) = arctan(1 + x^3)#?

Using the chain rule, which states that

Then, respecting the chain rule:

Now,

By signing up, you agree to our Terms of Service and Privacy Policy

The derivative of ( f(x) = \arctan(1 + x^3) ) is ( f'(x) = \frac{3x^2}{1 + x^6} ).

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7