How do you find local maximum value of f using the first and second derivative tests: #f(x) = e^x(x^2+2x+1)#?
1 Answer
Explanation:
For a local maximum or minimum of
Applying the product rule and the standard differential of
Setting
Since
To test for a maximum or minimum we need to test the sign of
Applying the product rule and the standard differential of
We are asked to find the local maximum.
The local extrema can be seen on the graph of
graph{e^x(x^2+2x+1) [-4.783, 0.086, -1.156, 1.277]}