CUET Preparation Today
CUET
-- Mathematics - Section A
Relations and Functions
The interval in which where the function $f(x)=x^3-3x^2+4x+1, x\in R$ is increasing, is :
[2, 3]
[-2, 4]
[0, 3]
R
The correct answer is Option (4) → R
$f(x)=x^3-3x^2+4x+1$
$f'(x)=3x^2-6x+4=0$
$⇒3(x-1)^2+1>0$ always
so f(x) is increasing on R