CUET · MATHS · PYQ PAPER 2025
The function \(f(x)=k x^3+6 k x^2+18 x+17\) is increasing on \(R\) (set of real numbers) if:
- A \(k \in(0,3)\)
- B \(k \in\left(0, \frac{3}{2}\right)\)
- C \(k \in\left(\frac{1}{2}, \frac{3}{2}\right)\)
- D \(k \in\left(\frac{1}{2}, \frac{5}{2}\right)\)
Answer & Solution
Correct Answer
(A) \(k \in(0,3)\)
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