How do you find the local max and min for # f(x)=x^3-2x+5# on the interval (-2,2)?
1 Answer
See below.
Explanation:
First find the 1st derivative of
Maximum and minimum points have a horizontal gradient .i.e. gradient of
Plugging these values into the second derivative, will allow us to find whether these are maximum, minimum or points of inflection. Using the following, if:
The second derivative is the derivative of the first derivative.
Plugging in our values of
Both
GRAPH:
graph{y=x^3-2x+5 [-5, 5, -20, 20]}