Q110 / 180 · KCET 2025 · Mathematics

The function $f(x)=\tan x-x$

  • Correct answer
    A
    always increases
  • B
    always decreases
  • C
    never increases
  • D
    neither increases nor decreases

Solution

$\begin{aligned} & f(x)=\tan x-x \\ & f^{\prime}(x)=\sec ^2 x-1=\tan ^2 x \geq 0\end{aligned}$

Hence, the correct answer is option: 'A'.

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