# How do you find the derivative of # x^2e^x-xe^x#?

Use product rule.

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

To find the derivative of ( x^2e^x - xe^x ), you can use the product rule of differentiation. The product rule states that if ( u(x) ) and ( v(x) ) are differentiable functions of ( x ), then the derivative of ( u(x)v(x) ) with respect to ( x ) is ( u'(x)v(x) + u(x)v'(x) ). Applying the product rule to the given expression, the derivative is:

[ (2x e^x + x^2 e^x) - (e^x + xe^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