How do use the first derivative test to determine the local extrema #f(x) = (x+1)(x-3)^2#?
1 Answer
Aug 31, 2015
Have a look:
Explanation:
You can use the Product and Chain Rule to find the derivative:
Now you can set it equal to zero to find the x coordinate(s) of the local extrema:
We can use the Quadratic Formula:
So you get:
Graphically:
graph{(x+1)((x-3)^2) [-10, 10, -5, 5]}