# What is the derivative of #y=(x-2)^(x+1)#?

so that, differentiating :

so that

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

To find the derivative of y = (x - 2)^(x + 1), you can use the product rule combined with the chain rule. The derivative is given by:

dy/dx = [(x + 1)(x - 2)^(x)] + [(x - 2)^(x + 1) * ln(x - 2)]

So, the derivative of y = (x - 2)^(x + 1) with respect to x is:

dy/dx = (x + 1)(x - 2)^(x) + (x - 2)^(x + 1) * ln(x - 2)

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