Which of the following function is decreasing on (0, 2)

Question

Which of the following function is decreasing on $(0, \frac{π}{2}) ?$

Smart Achievers · Accepted Answer

(3)

Ans. $c o s x$

Explanation:

In the interval $(0, \frac{π}{2}),$ $f (x) = \cos x$

$\Rightarrow$ $f' (x) = - \sin x$

which gives $f' (x) < 0$ in $(0, \frac{π}{2})$

Hence, $f (x) = \cos x$ is decreasing in $(0, \frac{π}{2})$

Want Us to Email you About Special Offers & Updates?