CUET · MATHS · PYQ PAPER 2025
\(\frac{d}{d x}\left(e^{2 \log _e x^3}\right)\) equals
- A \(30 x^4\)
- B \(6 x^5\)
- C \(5 x^6\)
- D \(3x^2\)
Answer & Solution
Correct Answer
(B) \(6 x^5\)
Step-by-step Solution
Detailed explanation
\(e^{2 \log _e x^3} = e^{\log _e (x^3)^2} = e^{\log _e x^6} = x^6\) \(\frac{d}{d x}(x^6) = 6x^5\)
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