CUET · MATHS · PYQ PAPER 2023
The interval in which the function \(f(x)=10-6 x-2 x^2\) is decreasing is :
- A \(\left(\frac{-3}{2}, \frac{3}{2}\right)\)
- B \(\left(-\infty, \frac{-3}{2}\right)\)
- C \(\left(\frac{-3}{2}, \infty\right)\)
- D \(\left(-\infty, \frac{3}{2}\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{-3}{2}, \infty\right)\)
Step-by-step Solution
Detailed explanation
\(f'(x) = -6 - 4x\) \(-6 - 4x \(-4x \(x > -\frac{6}{4}\) \(x > -\frac{3}{2}\) Interval: \(\left(\frac{-3}{2}, \infty\right)\)
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