CUET · MATHS · PYQ PAPER 2023
The derivative of \(x^3\) with respect to \(x^2\) is
- A \(\frac{ 2 x }{ 3 }\)
- B \(\frac{3 x}{2}\)
- C \(\frac{x}{2}\)
- D \(x\)
Answer & Solution
Correct Answer
(B) \(\frac{3 x}{2}\)
Step-by-step Solution
Detailed explanation
\(\frac{d(x^3)}{d(x^2)} = \frac{\frac{d}{dx}(x^3)}{\frac{d}{dx}(x^2)}\) \(= \frac{3x^2}{2x}\) \(= \frac{3x}{2}\)
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