CUET · MATHS · PYQ PAPER 2023
The function \(f(x)=x^3\), is increasing for:
- A Only positive values of x
- B Only negative values of x
- C For all real values of x
- D For only the values of z, such that \(-1 \leq x \leq 1\)
Answer & Solution
Correct Answer
(C) For all real values of x
Step-by-step Solution
Detailed explanation
\(f'(x) = \frac{d}{dx}(x^3) = 3x^2\) \(3x^2 \ge 0\) for all \(x \in \mathbb{R}\). The function is increasing for all real values of x.
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