stationary points

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

3 practice marks

Original practice question

Find the turning points of $y = -2x^2 + 6x + 3$ and classify each as a maximum or minimum.

Worked explanation

• Find f'(x)

  \[f'(x) = 6 - 4 x\]

• Find stationary points

  \[x = \frac{3}{2}\]

• Use second derivative test

  \[(\frac{3}{2}, \frac{15}{2}) \text{ is a local maximum}\]

\[(\frac{3}{2}, \frac{15}{2}) \text{ is a local maximum}\]

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