stationary points

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

3 practice marks

Original practice question

For $f(x) = -1x^2 + -6x + 1$, find all turning points and classify them.

Worked explanation

• Find f'(x)

  \[f'(x) = - 2 x - 6\]

• Find stationary points

  \[x = -3\]

• Use second derivative test

  \[(-3, 10) \text{ is a local maximum}\]

\[(-3, 10) \text{ is a local maximum}\]

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