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Continuity and Differentiability

NCERT Exemplar Class 12

CBSE

Grade 12

Question:

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

Step-by-Step Solution

y = e^{log(x^3)} = x^3 \implies dy/dx = 3x^2. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting $3x^2$: 1.0 Mark

Correct Answer: $3x^2$

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