Tim Gan Math
Sign up free

Applications of Differentiation - Stationary Points and Their Nature

Applications of Differentiation - Stationary Points and Their Nature

TGM Original Questions

A curve has the equation \(y = -x^3 + 3x - 2\).

  1. Find the coordinates of the stationary point(s) on the curve.
  2. Determine the nature of the stationary point(s) by using the first derivative test.
  3. Hence sketch the curve.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition

Create a free account to practise similar questions.

Create free accountSign inGet the A Math course · from S$39.98/moA Math tuition
Answer:(i) \((-1,-4)\), \((1,0)\) (ii) Minimum at \((-1,-4)\); maximum at \((1,0)\)

Need help? Join our A-Maths tuition classes.

Learn more