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OAU Post-UTME Mathematics 2011 Question 4

Question 4

Differentiation

Find dy/dx, if y = 3/√x

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

Answer: A (−(3/2)x−3/2)

Explanation

y = 3x−1/2, so dy/dx = 3 × (−½)x−3/2 = −(3/2)x−3/2.