CUET Preparation Today
Derivative of $e^{2x}$ with respect to $e^x$ is: |
$e^x$ $2e^x$ $2e^{2x}$ $2e^{3x}$ |
$2e^x$ |
The correct answer is Option (2) → $2e^x$ ## Let $u = e^{2x}, v = e^x$. $\frac{du}{dx} = e^{2x} \cdot 2, \quad \frac{dv}{dx} = e^x$ $\frac{du}{dv} = \frac{\frac{du}{dx}}{\frac{dv}{dx}} = \frac{2e^{2x}}{e^x} = 2e^x$ |
