# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f (x) = x^3 + 6x^2#?

##### 1 Answer

Dec 20, 2015

Find when

Now, use a sign chart with

Thus,

A relative maximum occurs whenever

A relative minimum occurs whenever

Thus,

There is a relative maximum when

There is a relative minimum when

graph{x^3+6x^2 [-51.76, 65.27, -14.2, 44.35]}