KCET · Maths · Application of Derivatives
The function \(f(x)=\tan x-x\)
- A always increases
- B always decreases
- C never increases
- D neither increases nor decreases
Answer & Solution
Correct Answer
(A) always increases
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & f(x)=\tan x-x \\ & f^{\prime}(x)=\sec ^2 x-1=\tan ^2 x \geq 0\end{aligned}\)
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