Which of the following function is strictly increasing on $(0, \frac{π}{2})$ .

cos x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

cos 2x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

cos 3x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

tan x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
tan x

$f (x) = t a n x \Rightarrow f^{'} (x) = s e c^{2} x > 0, x ϵ (0, \frac{π}{2})$

Suggest Corrections

Similar questions

Prove that the function f given by f(x) = log sin x is strictly increasing on and strictly decreasing on

Prove that the function f given by f(x) = log cos x is strictly decreasing on and strictly increasing on

f

f (x) = log sin x

(0, \frac{π}{2})

(\frac{π}{2}, π)

f

f (x) = log cos x

(0, \frac{π}{2})

(\frac{π}{2}, π)

Prove that function f given by $f (x) = l o g (c o s x)$ is strictly decreasing on $(0, \frac{π}{2})$ and strictly increasing on $(\frac{π}{2} π)$ .

Join BYJU'S Learning Program