# Math Help - The Exponential Function (e) find dy/dx

1. ## The Exponential Function (e) find dy/dx

$\ln xy = e^(x+y)$ find dy/dx

thats an e to the x+y also

I guess im not entirely sure how to go about solving this problem. Do I use the product rule for the $lnxy$

2. Originally Posted by BCHurricane89
$\ln xy = e^(x+y)$ find dy/dx

thats an e to the x+y also

I guess im not entirely sure how to go about solving this problem. Do I use the product rule for the $lnxy$

Note that $\ln(xy)=\ln(x)+\ln(y)$

Implicitly differentiating both sides, you should get

$\frac{1}{x}+\frac{1}{y}\frac{\,dy}{\,dx}=\left(1+\ frac{\,dy}{\,dx}\right)e^{x+y}$

Can you solve for $\frac{\,dy}{\,dx}$ now?

3. Sweet, got it, thanks!