Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksoptimization
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #3
For x>0, at which x is f(x)=x^x stationary?
✅ Step-by-Step Solution
Final Answer: Option (B): 1/e
- Logarithmic differentiation gives f′=x^x(ln x+1); it vanishes at x=e^(−1).
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CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q7
The least value of f(x) = x³ − 12x, x ∈ [0, 3] is