Find the stationary points question 11?
1 Answer
Please see below.
Explanation:
.
Stationary points of a function are:
Maximums
Minimums
Points of Inflection
We take the first derivative of the function and set it equal to zero to solve for the roots:
We plug these into the original function to fins the corresponding
Now we take the second derivative of the function and set it equal to zero to find its root:
We get the point
Now we need to try two values of
If they both come out smaller than
If one comes out smaller and the other one larger than
We will try
This is smaller than
We will try
This is larger than
Therefore,
Here is a graph of the function:
graph{x^3/3-x^2/2-2x-1 [-14.24, 14.24, -7.12, 7.13]}