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JAMB Mathematics 1998 Question 39

Question 39

Differentiation

Differentiate x/cos x with respect to x.

  1. A.1 + x sec x tan x
  2. B.1 + sec2x
  3. C.cos x + x tan x
  4. D.sec x + x sec x tan x
Show the answer and explanation

Answer: D (sec x + x sec x tan x)

Explanation

x/cos x = x sec x. By the product rule its derivative is sec x + x sec x tan x.