# What is the derivative of #f(x)=e^(x^2lnx)#?

We will use the following:

The chain rule.

The product rule.

With those:

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

To find the derivative of ( f(x) = e^{x^2 \ln x} ), you can use the chain rule and the product rule. The derivative is:

[ f'(x) = e^{x^2 \ln x} \left(2x \ln x + x + \frac{x}{x \ln x}\right) ]

Simplified:

[ f'(x) = e^{x^2 \ln x} \left(2x \ln x + 1 + \frac{1}{\ln x}\right) ]

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