# What is the derivative of #f(x)=cos^-1(x^3)# ?

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

To find the derivative of ( f(x) = \cos^{-1}(x^3) ), we use the chain rule. The derivative is:

[ f'(x) = -\frac{1}{\sqrt{1 - (x^3)^2}} \cdot 3x^2 \cdot (-\sin(\cos^{-1}(x^3))) ]

Simplified, it becomes:

[ f'(x) = \frac{3x^2}{\sqrt{1 - x^6}} \cdot \sin(\cos^{-1}(x^3)) ]

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