strictly increasing mean it should not support equals statement
e.g.:
for f(x)=x3
f`(x)=3x2
for increasing-
3x2>=0
x2>=0
x belongs to real numbers
but for strictly increasing x2>0
x belongs to real numbers except 0 i.e. R-{0}
where R is set of real numbers
simarly for decreasinf there also equals not included in strictly decreasing