OAU Post-UTME Mathematics 2023 Question 7

Question 7

Differentiation

Differentiate 1/√x with respect to x

  1. A.−1/(2(√x)3)
  2. B.−1/(2√x)
  3. C.−1/(2x3)
  4. D.1/(2√x)
Show the answer and explanation

Answer: A (−1/(2(√x)3))

Explanation

1/√x = x−1/2. Its derivative is −½x−3/2 = −1/(2(√x)3).