CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Q71 Marksapplications_of_derivatives
CBSE Class 12 Mathematics 2026 Main Paper 65/1/1 · Question 7 (Applications Of Derivatives)
The least value of f(x) = x³ − 12x, x ∈ [0, 3] is
✅ Step-by-Step Solution
Final Answer: (A) −16
- f′(x)=3x²−12=0 ⇒ x=2 (in [0,3]).
- f(0)=0, f(2)=8−24=−16, f(3)=27−36=−9.
- Least value is −16.
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