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Continuity and Differentiability

NCERT Class 12

CBSE

Grade 12

Question:

If $y = e^{3 \log x}$, then $\dfrac{dy}{dx}$ is equal to:
(a) $3 x^2$
(b) $e^{3 \log x}$
(c) $3 x^3$
(d) $\dfrac{3}{x}$

Step-by-Step Solution

$y = x^3 \Rightarrow y' = 3 x^2$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Evaluating derivative $= 3x^2$: 1.0 Mark

Correct Answer: $3 x^2$

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