imo class 12 continuity and differentiability

Find dy/dx if y = log(sec x + tan x).

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Find dy/dx if y = log(sec x + tan x).

  • A. sec x
  • B. tan x
  • C. sec x tan x
  • D. sec²x

Answer: A) sec x

Explanation: dy/dx = (1 / (sec x + tan x)) × d/dx(sec x + tan x) = (1 / (sec x + tan x)) × (sec x tan x + sec²x) = sec x(tan x + sec x) / (sec x + tan x) = sec x.

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