By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

Let f(x) = 2x + 3x²/3 a) Find the intervals of increase and decrease. b) Find the relative maximum and minimum values. Show any test you performed to support your answers.

A company that produces cellular phones analyzes its production and finds that the profit P (in dollars) on the sale of the phones is approximated by the function: P(x)=-0.2x2+460x-25,000 where x is the number of phones produced each month. How many phones per month should be made so as to maximize profit? And what is the maximum profit?

Given the function f(x) = x4 – 8x2 of f on the closed interval [-3, 1]. 2, determine the absolute maximum value %3D -