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