stationary points

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

3 practice marks

Original practice question

Let $h(x) = -1x^2 + -4x + 3$. Find the coordinates of all stationary points and determine whether each is a local maximum or local minimum.

Worked explanation

• Find f'(x)

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

• Find stationary points

  \[x = -2\]

• Use second derivative test

  \[(-2, 7) \text{ is a local maximum}\]

\[(-2, 7) \text{ is a local maximum}\]

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