Question

Find $\frac{dy}{dx}$, if $y=e^{(1+{\log }_{e}x)}$.

Answer 1

Given, $y=e^{(1+{\log }_{e}x)}$.

or, $y=e.e^{{\log }_{e}x}$

or, $y=ex$

Now, differentiating both sides we get,

$\frac{dy}{dx}=e$.