passwella.
Menu

WAEC Mathematics 1994 Question 18

Question 18

Differentiation

In the graph above, the gradient of the curve at the point P is

Diagram for this question
  1. A.−1 1/3
  2. B.−3/4
  3. C.3/7
  4. D.3/4
  5. E.1 1/3
Show the answer and explanation

Answer: A (−1 1/3)

Explanation

The gradient at P is the gradient of the tangent drawn at P. The tangent passes through about (−3, 0) and (0, −4), so the gradient = (−4 − 0)/(0 − (−3)) = −4/3 = −1 1/3.