TS EAMCET · Maths · Application of Derivatives
If the function \(\mathrm{f}(\mathrm{x})=\mathrm{xe}^{-\mathrm{x}}, \mathrm{x} \in \mathbb{R}\) attains its maximum value \(\beta\) at \(x=\alpha\) then \((\alpha, \beta)=\)
- A \(\left(2, \frac{1}{\mathrm{e}}\right)\)
- B \(\left(1, \frac{1}{\mathrm{e}}\right)\)
- C \(\left(1, \frac{-1}{\mathrm{e}}\right)\)
- D \(\left(\frac{1}{\mathrm{e}}, 1\right)\)
Answer & Solution
Correct Answer
(B) \(\left(1, \frac{1}{\mathrm{e}}\right)\)
Step-by-step Solution
Detailed explanation
\(f(x)=x \cdot e^{-x}\)…
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