if x+y=8, find the max of x^y

If x y=8 for nonnegative x and y, then find the maximum value of x^y. This question seems like a typical calculus optimization problem, but to find the exact answer, we will need to use the Lambert W function. Check out my 100 calculus 2 problems to help you with your calc 2 final: ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: 💪 Get my math notes by becoming a patron: #blackpenredpen #math #calculus #apcalculus