CUET · MATHS · PYQ PAPER 2023
The intervals for which \(f(x)=x^4-2 x^2\) is increasing are:
- A \((-\infty, 1)\)
- B \((-1, \infty)\)
- C \((-\infty,-1) \cup(0,1)\)
- D \((-1,0) \cup(1, \infty)\)
Answer & Solution
Correct Answer
(D) \((-1,0) \cup(1, \infty)\)
Step-by-step Solution
Detailed explanation
\(f'(x) = 4x^3 - 4x\) \(4x^3 - 4x > 0\) \(4x(x^2 - 1) > 0\) \(4x(x-1)(x+1) > 0\) \(x \in (-1,0) \cup (1, \infty)\)
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