If , then…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

If f(x)=x⋅ex(1−x)f(x) = x \cdot e^{x(1-x)} , then f(x)f(x) is (1) increasing on [−12,1]\left[-\frac{1}{2}, 1\right] (2) decreasing on R\mathbb{R} (3) increasing on R\mathbb{R} (4) decreasing on [−12,1]\left[-\frac{1}{2}, 1\right]

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