Worked Example 9

(a)

State the $x$-coordinates of the stationary points for the curve $y=\text{f}\left( x \right).$

Hence determine the nature of these stationary points.

(b)

State the maximal range of values of $x$ such that the curve $y=\text{f}\left( x \right)$ is,

(i) concave downwards,

(ii) increasing.