Continuity and Differentiability
Xam Idea
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
Key Concept: y = e^{log x^3} = x^3 => dy/dx = 3x^2.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $3x^2$
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