# How do you differentiate #y=x^(x-1)#?

Use logarithmic differentiation to get

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

To differentiate ( y = x^{x-1} ), you can use the product rule along with the chain rule. The derivative is ( y' = x^{x-1} (1 + \ln(x)) ).

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