JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Medium

1 of 1

Analyzing +4 | -1

f\left( x \right) = x{e^{x\left( {1 - x} \right)}}

, then

f\left( x \right)

View answer and explanation

Correct option: A

Increasing on

\left[ { - \frac{1}{2},\;1} \right]

Option A (Increasing on

\left[ { - \frac{1}{2},\;1} \right]

) is correct because the derivative of the function is positive in this interval, indicating an increasing function.

More Questions from INCREASING & DECREASING

Practice All Chapter MCQs →

f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

x

f\left( x \right) = {x^2} + ax + 1

a

f(x)=

\sin x-\cos x-a x+b

f(x)=x e^{x(1-x)}, x \in R

f

g

fog

f\left( x \right) = {x^3} + b{x^2} + cx + d

0 < {b^2} < c

\left( { - \infty ,\;\infty } \right)