Could you help walk me through this problem? I have to show all my work step by step and explain the different rules (like chain rule, product rule, etc) I used.

It says:

For the function f(x)=10-5x*e^(1-0.125x^2)

a.) Find and classify all relative extremas for f(x) everywhere the function is defined. Remember that you need to consider where f'(x)=0 and where f'(x) does not exist.

b.) Find and classify the absolute extrema on [0,5]