# Finding Maximum and Minimum Values

Questions:

A) Find all critical points of f(x)=x^5+5x^4-35x^3 and classify each as a relative minimum, relative maximum or neither one.

B) Find the absolute maximum and minimum values of f(x)=2x^4-16x^3-32x^2 on the interval [-3,2].

https://brainmass.com/math/optimization/finding-maximum-minimum-values-516402

#### Solution Preview

A) Find all critical points of f(x)=x^5+5x^4-35x^3 and classify each as a relative minimum, relative maximum or neither one.

Solution. As , there are three critical numbers: x=0, x=-7 and x=3.

To classify them, we find ...

#### Solution Summary

The expert finds the maximum and minimum values.

$2.19