I've been working on a problem for over an hour now and I cannot figure out the answer.

Find a formula for a curve of the form https://instruct.math.lsa.umich.edu/...27827f2ed1.png for https://instruct.math.lsa.umich.edu/...4a913333a1.png with a local maximum at https://instruct.math.lsa.umich.edu/...3316ca2a61.png and points of inflection at https://instruct.math.lsa.umich.edu/...c45fd83f91.png and https://instruct.math.lsa.umich.edu/...9605c35ec1.png.

I can't even figure out the derivative to that ridiculous equation.