CUET · MATHS · PYQ PAPER 2023
Derivative of \(2 x^2\) with respect to \(5 x^4\) is:
- A \(\frac{1}{5 x}\)
- B \(\frac{1}{5 x^2}\)
- C \(\frac{1}{5 x^2}\)
- D \(\frac{1}{5 x^3}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{5 x^2}\)
Step-by-step Solution
Detailed explanation
\(\frac{d(2x^2)}{d(5x^4)} = \frac{\frac{d}{dx}(2x^2)}{\frac{d}{dx}(5x^4)}\) \(= \frac{4x}{20x^3}\) \(= \frac{1}{5x^2}\)
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