Note: You do not need a calculator to solve this problem. In this question, we'll find the extreme values of the function f(x) = −6e cos x over the interval [0, 1], and the locations where they occur. (a) List the x-values of all critical points and endpoints. x = (b) Since we're asking for global extrema over a closed interval, we know that a global max and a global min are guaranteed to exist, and they'll exist at one of the locations you listed in (a). Find the value of f at each of the points you listed. It's not obvious, without a calculator, which values are the largest and which are the smallest. So, use what you know about graphing to help you determine the values below. Absolute minimum value: located at x = ' Absolute maximum value: 6e^(pi) located at x = pi 1