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