JAMB Mathematics 2008 Question 36

Question 36

Differentiation

Find the derivative of y = (x7 − x5)/x4.

  1. A.x(x2 − 1)
  2. B.3x(x2 − 1)
  3. C.3x2 − 1
  4. D.7x6 − 5x4
Show the answer and explanation

Answer: C (3x2 − 1)

Explanation

Simplify first: y = x3 − x, so dy/dx = 3x2 − 1.