Maximum and Minimum Problems (VCE SSCE Mathematical Methods): Quizzes

Making a quantity as large/small as possible

Step 4: Solve where derivative equals zero

$\frac{dy}{dx} = 0$

$50$ m by $50$ m (a square)

To eliminate variables until one remains

Both stationary points AND boundary values

$y$ is increasing

Concave up (cup/smile shape)

$f''(x) = 0$ AND change in concavity

Minimum point