JEE MATHEMATICS MCQ: INCREASING & DECREASING

1 Easy

1 of 1

Analyzing +4 | -1

Let

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

Then

View answer and explanation

Correct option: A

f^{\prime}(x) \geq 0

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

Option A (

f^{\prime}(x) \geq 0

[\frac{{-1}}{{2}}, 1]

) is correct because the derivative is non-negative in the given interval, as shown by the sign analysis of

f'(x)

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a

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

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