stationary points

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

3 practice marks

Original practice question

Let $g(x) = -2x^2 + -2x + -1$. Find the coordinates of all stationary points and determine whether each is a local maximum or local minimum.

Worked explanation

• Find f'(x)

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

• Find stationary points

  \[x = - \frac{1}{2}\]

• Use second derivative test

  \[(- \frac{1}{2}, - \frac{1}{2}) \text{ is a local maximum}\]

\[(- \frac{1}{2}, - \frac{1}{2}) \text{ is a local maximum}\]

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