For , determine the coordinates of the local minimum.

Answer and explanation

Correct answer: B.

  1. Step 1: gives or .
  2. Step 2: The cubic has a positive leading coefficient, so the larger turning point is the local minimum: .
Answer
.
Why not the others: : this is the local maximum, not the local minimum. : the coordinates were swapped. : the y-intercept was used as the y-value.

Practise more Differential calculus.

Free questions with an explanation for every one, and full timed South Africa Matric mock tests.