The function f(x) = tanx - x Option 1: is a decreasing function on [0,/2) Option 2: is an increasing function on [0,/2) Option 3: is a constant function Option 4: is neither increasing nor decreasing function on [0,/2)

The answer is 'is an increasing function on [0,/2)'. View full solution:

Calculus > Application of Derivatives

Medium

core

The function $f(x) = tanx - x$

is a decreasing function on $\left[0,\frac{\pi}{2}\right)$

is an increasing function on $\left[0,\frac{\pi}{2}\right)$

is a constant function

is neither increasing nor decreasing function on $\left[0,\frac{\pi}{2}\right)$

✅ Correct Option: 2

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