# How do you find the 1st and 2nd derivative of #e^(x^2)#?

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

To find the first derivative of ( e^{x^2} ), use the chain rule:

[ \frac{d}{dx} e^{x^2} = 2x \cdot e^{x^2} ]

To find the second derivative, differentiate the first derivative with respect to ( x ) again:

[ \frac{d^2}{dx^2} e^{x^2} = (2 + 4x^2) \cdot e^{x^2} ]

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