Question
Download Solution PDFThe maximum value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Steps to find the maxima and minima
1.find
2. find the value of x i. e. critical point
3. for the maximum value we put x in f(x) to get the value of f(x) at the point.
Calculations:
Given, f(x) =
Consider, y =
Taking log on both side, we get
ln y = x ln(
⇒ln y = -x ln x
⇒(1/y) ×
Equating
⇒
⇒ x =
So, for the maximum value we put x =
f(x) = e1/e
Hence, The maximum value of
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