JAMB Mathematics 1989 Question 28

Question 28

Differentiation

On the curve above, the points at which the gradient of the curve is equal to zero are

Diagram for this question
  1. A.c, d, f, i, l
  2. B.b, e, g, j, m
  3. C.a, b, c, d, f, i, j, l
  4. D.c, d, f, h, i, l.
Show the answer and explanation

Answer: B (b, e, g, j, m)

Explanation

The gradient is zero at the turning points, the tops and bottoms of the curve where the tangent is flat. These are b, e, g, j and m.