f (a)=0 (a,f(a)) is a stationary point Solve for a, find the y-coordinate, then test the nature of each point. Local maximum at (1,2). Local minimum at (1,-2). **Local behaviour of derivative** | **Conclusion** Positive to negative | Local maximum Negative to positive | Local minimum

\(\mathrm{f}^{\prime}(a)=0\quad\Longrightarrow\quad(a,\mathrm{f}(a))\text{ is a stationary point}\)

Solve for a, find the y-coordinate, then test the nature of each point.

Stationary Points

Stationary Points