MHT CET · Maths · Differentiation
If \(\mathrm{f}(x)=3 x^2+2 x \mathrm{f}^{\prime}(1)+\mathrm{f}^{\prime \prime}(2)\), then \(\mathrm{f}(x)=\) ______
- A \(3 x^2+8 x+4\)
- B \(3 x^2+12 x+12\)
- C \(3 x^2-12 x+6\)
- D \(3 x^2-18 x+5\)
Answer & Solution
Correct Answer
(C) \(3 x^2-12 x+6\)
Step-by-step Solution
Detailed explanation
\(f(x) = 3x^2 + 2x f'(1) + f''(2)\) \(f'(x) = 6x + 2f'(1)\)
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