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JEE Mains · Maths · STD 12 - 6. Application of derivatives
The number of distinct real roots of the equation \(3 x^{4}+4 x^{3}-12 x^{2}+4=0\) is ..... .
- A \(2\)
- B \(1\)
- C \(4\)
- D \(3\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
\(3 x^{4}+4 x^{3}-12 x^{2}+4=0\) So, Let \(f(x)=3 x^{4}+4 x^{3}-12 x^{2}+4\) \(\therefore \mathrm{f}^{\prime}(\mathrm{x})=12 \mathrm{x}\left(\mathrm{x}^{2}+\mathrm{x}-2\right)\) \(=12 \mathrm{x}(\mathrm{x}+2)(\mathrm{x}-1)\)
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