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CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Q111 Marksrates

CBSE Class 12 Mathematics 2026 Supplementary Paper 65/7/1 · Question 11 (Applications Of Derivatives)

For \(f(x)=x^3-5x^2+6x-7\), find x where its rate of increase with respect to x is 3.

(A) \(-3,-1/3\)
(B) \(3,-1/3\)
(C) \(3,1/3\)
(D) \(-3,1/3\)

✅ Step-by-Step Solution

Final Answer: \(3,1/3\)

Solve f′=3: 3x²−10x+3=(3x−1)(x−3)=0.

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