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Continuity and Differentiability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSContinuity and Differentiability1 Mark
Question
Derivative of $e^{2 x}$ with respect to $e^x$, is
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Answer

Let $u=e^{2 x}$ and $v=e^x$
$
\Rightarrow \quad \frac{d u}{d x}=2 e^{2 x}, \frac{d v}{d x}=e^x \therefore \quad \frac{d u}{d v}=\frac{d u / d x}{d v / d x}=\frac{2 e^{2 x}}{e^x}=2 e^x
$

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