The function f(x) = x - x - Vidyadip

MCQ

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

✓
Always increases
B
Always decreases
C
Never decreases
D
Sometimes increases and sometimes decreases

✓

Answer

Correct option: A.

Always increases

a
(a) $y = \tan x - x \Rightarrow \frac{{dy}}{{dx}} = {\sec ^2}x - 1 = {\tan ^2}x \ge 0$.

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