TS EAMCET · Maths · Application of Derivatives
The functions \(f(x)=x e^{-x}, \forall(x \in R)\) attains a maximum value at \(x\) is equal to
- A \(1\)
- B \(2\)
- C \(\frac{1}{e}\)
- D \(3\)
Answer & Solution
Correct Answer
(A) \(1\)
Step-by-step Solution
Detailed explanation
We have, \(f(x)=x e^{-x}\) \[ f^{\prime}(x)=-x e^{-x}+e^{-x} \] For maximum or minimum, put \(f^{\prime}(x)=0\)…
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