I. lf $f^{'} (a) > 0$ then $f$ is increasing at $x = a$
II: If f is increasing at $x = a$ then $f^{'} (a)$ need not to be positive

only I

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

only II

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

both I and II

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

neither I nor II

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

Open in App

Solution

The correct option is A only I
$f (x)$ is increasing when $f^{'} (x) > 0$

Suggest Corrections

Similar questions

List - I	List - II
A) $f^{'} (a) = 0$ and $f^{''} (a) < 0$ then	l) f(x) is increasing at $x = a$
B) $f^{'} (a) = 0$ and $f^{''} (a) > 0$ then	2) f(x) has maximum value at $x = a$
C) $f^{'} (a) \neq 0$ then	3) f(x) has neither maximum nor minimum
D) $f^{'} (a) > 0$	4) f(x) has minimum value at $x = a$
	5) f(x) is decreasing at $x = a$