Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Relations and Functions

Question:

The interval in which where the function $f(x)=x^3-3x^2+4x+1, x\in R$ is increasing, is :

Options:

[2, 3]

[-2, 4]

[0, 3]

R

Correct Answer:

R

Explanation:

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