stationary points

Practise stationary points with an original VectorPaths question, worked explanation and related VCE Methods practice.

3 practice marks

Original practice question

For the curve $y = -1x^2 + 4x + 2$, find the coordinates and nature of all stationary points.

Worked explanation

• Find f'(x)

  \[f'(x) = 4 - 2 x\]

• Find stationary points

  \[x = 2\]

• Use second derivative test

  \[(2, 6) \text{ is a local maximum}\]

\[(2, 6) \text{ is a local maximum}\]

Original VectorPaths practice; not an official VCAA question or marking rubric.