Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Relations and Functions

Question:

The function $f(x)=xe^x$ increases only for :

Options:

$x≤1$

$x≥1$

$x≤-1$

$x≥-1$

Correct Answer:

$x≥-1$

Explanation:

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