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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Q31 Marksextrema

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/3 · Question 3 (Applications Of Derivatives)

For \(f(x)=-|x+1|+5\), which statement is true?

(A) Maximum 0 at x=4.
(B) Maximum 5 at x=−1.
(C) Maximum 4 at x=0.
(D) No maximum.

✅ Step-by-Step Solution

Final Answer: Maximum 5 at x=−1.

The absolute value is nonnegative, so f≤5, with equality at x=−1.

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