Mathematics

This is about second derivatives and the chain rule—you'll need to differentiate twice. The key insight is that the first derivative will itself be a composite function (a power times a polynomial), so when you differentiate again, you'll need both the product rule and chain rule working together. Keep careful track of your intermediate results from the first derivative; they'll make the second derivative much cleaner to compute.

This is about second derivatives and the chain rule—you'll need to differentiate twice. The key insight is that the first derivative will itself be a composite function (a power times a polynomial), so when you differentiate again, you'll need both the product rule and chain rule working together. Keep careful track of your intermediate results from the first derivative; they'll make the second derivative much cleaner to compute.