CUET · MATHS · PYQ PAPER 2023
The critical points of \(f(x)=x^3+x^2+x+1\) are
- A 2,1
- B \(-2,-1\)
- C \(2,-1\)
- D do not exist
Answer & Solution
Correct Answer
(D) do not exist
Step-by-step Solution
Detailed explanation
\(f'(x) = 3x^2 + 2x + 1\) \(3x^2 + 2x + 1 = 0\) \(\Delta = b^2 - 4ac = 2^2 - 4(3)(1) = 4 - 12 = -8\) Since \(\Delta Critical points do not exist.
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