How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #2x^3 + 3x^2 - 12x#?
1 Answer
Explanation:
You determine intervals of increasing and decreasing and the relative maxima and minima by studying the first derivative of the function:
First, we wind the points where
The roots are:
Then we look at the sign of
So we can state that
graph{2x^3+3x^2-12x [-8, 8, -40, 40]}