imo class 12 application of derivatives

Which of the following functions is strictly increasing on (0, π/2)?

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Which of the following functions is strictly increasing on (0, π/2)?

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

Answer: D) tan x

Explanation: The derivative of tan x is sec²x, which is positive for all x in (0, π/2). Thus, tan x is strictly increasing. The others have negative derivatives.

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