If (xe)y = ex, then (\frac{dy}{dx}) is | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If (xe)y = ex, then $\frac{dy}{dx}$ is

A

$\frac{\log x}{(1+\log x)^2}$

B

$\frac{1}{(1+\log x)^2}$

C

$\frac{\log x}{(1+\log x)}$

D

$\frac{e^x}{x(y-1)}$

Answer

$\frac{\log x}{(1+\log x)^2}$

Explanation

Solution

The correct answer is (A) : $\frac{\log x}{(1+\log x)^2}$ .