Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksmonotonicity
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #1
Find the maximal open interval on which f(x)=x²e^(−x) has positive derivative.
✅ Step-by-Step Solution
Final Answer: Option (D): (0,2)
- f′(x)=e^(−x)x(2−x), positive precisely when 0<x<2.
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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