How do you find the maximum, minimum and inflection points and concavity for the function #f(x)=18x^3+5x^2-12x-17#?
1 Answer
Jul 17, 2018
Below
Explanation:
For maximum or minimum points,
To determine whether the point is maximum or minimum,
At
Therefore, it is minimum and concave up at
At
Therefore, it is maximum and concave down at
For inflexion points,
Test
Therefore, since there is a change in concavity, a point of inflexion occurs at