MA 125 Midterm: Cal_1___Test_4
Document Summary
Clearly write your answer in the space provided after each question. Find the absolute minimum value of the function f (x) = 2x3. [ 2, 2]. (be sure to give the y-coordinate!) Find the number c whose existence is guaranteed by the mean value theorem for the function f (x) = x3 + x on the interval [ 1, 1]. Find the critical number(s) of the function f (x) = x3 + 1 x3. Find the open interval on which the function g(x) = xex is decreasing. (clearly indicate the end-points of your interval!) Find the part of the x-axis on which the function h(x) = Find the most general antiderivative of the function f (x) = ex + Find two positive numbers whose product is 9 and whose sum is minimal. You must show your work to get full credit. Displaying only the nal answer (even if correct) without the relevant steps will not get full credit.
