Consider the function f(x)=2x3+18x2–240x+3–10x5. This function has an absolute minimum value equal to

Question

and an absolute maximum value equal to

Answer 1

Please use ^ before exponents. The maxima and minima are where f'(x) = 0. You are going to have to solve the resulting equation yourself. If f(x) really has a -10x^5 at the end, that is going to be messy because you will have a fourth order polynomial to solve. The sign of f''(x) where the f'(x) zeroes occur tells you whether the function is a minimum or a maximum there.