# How do you differentiate #f(x)=sin^-1(x^3)#?

The answer is

So,

But,

Therefore,

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

To differentiate ( f(x) = \sin^{-1}(x^3) ), you would use the chain rule. The derivative is:

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

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

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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