Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksoptimization
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #4
Find the maximum value of (1/x)^x for x>0.
✅ Step-by-Step Solution
Final Answer: Option (C): e^(1/e)
- Its logarithm −x ln x increases up to x=1/e and decreases afterwards. The maximum is exp(1/e).
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The least value of f(x) = x³ − 12x, x ∈ [0, 3] is