IIT JEE , AIEEE Forum - Mathematics , Differential Calculus

joyfrancis

For decreasing function if a<b ..f(a)>f(b) and for increasing funtions... f(a)<f(b)...

option A :

Range of p and q : (-inf,0)...:decreasing function...so if p<q then f(p)>f(q)... $\frac{e^p}{p} > \frac{e^q}{q}$ ...which is the opposite of the given option....hence A is false...

option B :

Range : (1,inf).....:increasin'....so if p<q ,...f(p)<f(q)... $\frac{e^p}{p} < \frac{e^q}{q}$ ...so B is right

option C :

Range : (0,1)...decreasin'...so if p<q ....f(p)>f(q).... $\frac{e^p}{p} > \frac{e^q}{q}$ ....so C is incorrect

option D:

Range ; (0,1)....decreasing'...if p>q...f(p)<f(q)... $\frac{e^p}{p} < \frac{e^q}{q}$ ..so D is also incorrect.

So the only correct option is B

Ask & Discuss Questions with Community & Experts