Question

If $y=e^{(1+\log x)}$, then the value of $\frac{dy}{dx}$ is equals to ?

• A. $e$
• B. $1$
• C. $0$
• D. $\log x{e}^{\log x}$

Answer 1

The correct option is A

$e$

Explanation for the correct option:

Find the value of $\frac{dy}{dx}$ :

Given,

$y=e^{(1+\log x)}$

Evaluate the given function,

$\begin{array}{rcl}y& =& e^{(1+\log x)}\\ & =& e.e^{\log x}\\ & =& e.x\end{array}$

Now, differentiate the given function with respect to $x$

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

Hence, the correct option is A.