imo class 12 continuity and differentiability

If y = logₑ(sec x + tan x), then y′ is:

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If y = logₑ(sec x + tan x), then y′ is:

  • A. sec x
  • B. cos x
  • C. sec x tan x
  • D. cosec x

Answer: A) sec x

Explanation: y′ = (sec x tan x + sec² x)/(sec x + tan x) = sec x (tan x + sec x)/(sec x + tan x) = sec x.

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