AP EAMCET · Maths · Application of Derivatives
The function \(f(x)=x \cdot e^{x(1-x)}\) is
- A increasing in \(\left[-\frac{1}{2}, 1\right]\)
- B decreasing in \(\left[-\frac{1}{2}, 1\right]\)
- C increasing in \(\mathbb{R}\)
- D decreasing in \(\mathbb{R}\)
Answer & Solution
Correct Answer
(A) increasing in \(\left[-\frac{1}{2}, 1\right]\)
Step-by-step Solution
Detailed explanation
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