Target Exam

CUET

Subject

Maths. Section A

Chapter

Applications of Derivatives

Question:

The function xx decreases on the interval

Options:

(0, e)

(0, 1)

$(0, \frac{1}{e})$

None of these

Correct Answer:

$(0, \frac{1}{e})$

Explanation:

The correct answer is Option 3: $(0, \frac{1}{e})$

⇒ $f'(x) = x^x[1+\log x]$

1log$x$ <

log$x$ < 1

x<1/e

Hence, decreasing on (0, 1/e)