Identifying Stationary Points Using Notation

00:00 3 marks

Determine all stationary points of the function \(f(x) = x^3 – 6x^2 + 9x + 15\). Express your answers as coordinate pairs, clearly identifying each point as either a local maximum or a local minimum using appropriate mathematical notation.

Hint Hint

Hint

Differentiate the function to find candidate points, then use the second derivative test to classify them. Remember to evaluate the original function to find the y-coordinates of the stationary points.

Answer Answer
Mark Scheme Mark Scheme
Explanation Explanation
Examiner Tips Examiner Tips
Common Errors Common Errors
Real World Context Real World Context
Focus Focus
Formula Booklet

Answer Answer

Complete Answer

Local maximum at (1, 19) and local minimum at (3, 15)

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Examiner Tips Examiner Tips

Common Errors Common Errors

Focus Focus

Formula Booklet