Method, practice, and harder questions

Applications: Rates & Optimisation

Three tools: differentiate position for velocity and acceleration, set a derivative to zero (and check with the second derivative) for a maximum or minimum, and use \(\delta y \approx \frac{dy}{dx}\,\delta x\) to estimate a small change. The ideas are explained on the previous page. Twenty foundational questions and ten harder ones cover every type that turns up in exams.