How do you find the exact relative maximum and minimum of the polynomial function of #g(x) =x^3 + 6x^2 – 36#?
1 Answer
See below.
Explanation:
Given
To find the maximum and minimum of the function find first derivative and set it equal to zero.
After factoring out
Since
For
Hence
Now to ascertain the second derivative of the given function
At the first point
Similarly at the point
Verify by drawing a graph with the graphing tool
graph{y=x^3+6x^2-36 [-80, 80, -40, 40]}