Consider the function f(x) = x^3 - 4x^2 + 5x + 2. Find the global minimum value of f(x) over the interval [0, 4].

Find the absolute maximum and minimum value of the function  f(x) = x / 49 + x^2

An arrow was shot into the air. As the arrow moved d feethorizontally from the archer, assume that its height h, in feet, was approximated by the functionh(d) = −0.002d^2 + 0.7d + 6.3.Find the relative maximum of the function. Show that this is a maximum using the First DerivativeTest.

Let f(x) = 8x3 - x4 + 4. 1. Find the local maximum and minimum points