CUET Preparation Today
CUET
-- Mathematics - Section A
Relations and Functions
The function $f(x)=xe^x$ increases only for :
$x≤1$
$x≥1$
$x≤-1$
$x≥-1$
The correct answer is Option (4) → $x≥-1$
$f(x)=xe^x$
so $f'(x)=e^x+xe^x=0⇒x=-1$
so for $x≥-1$
f(x) is increasing
