jnu sss 2015, ques 44

Posted by soimmoi on Oct 21, 2017; 3:07am
URL: http://discussion-forum.276.s1.nabble.com/jnu-sss-2015-ques-44-tp7608196.html

let f(x) be a differentiable function defined over [0,2]. It is givent that f(0) = 1 and f(x)<= 0 -->f'(x)>0
then,
a) f(x)< 0 for some x in interval (0,2]
b)f(x)>= 0 for all x [0,2]
c)f(x) = 0 for all x in [0,1]
d) f(x) is strictly positive for all 0<x<1 and f(x) is strictly negative for 1<x<2