CUET · MATHS · PYQ PAPER 2025
The function \(f(x)=6-6 x-2 x^2\)
- A Strictly decreasing for \(x<-\frac{3}{2}\)
- B Strictly increasing for \(x<\frac{3}{2}\)
- C Strictly decreasing for \(x>-\frac{3}{2}\)
- D Strictly increasing for \(x>\frac{3}{2}\)
Answer & Solution
Correct Answer
(C) Strictly decreasing for \(x>-\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
\(f'(x) = -6 - 4x\) \(-6 - 4x = 0 \Rightarrow 4x = -6 \Rightarrow x = -\frac{3}{2}\) For \(x > -\frac{3}{2}\), \(f'(x) -\frac{3}{2}\).
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