### Home > CALC3RD > Chapter Ch9 > Lesson 9.1.2 > Problem9-23

9-23.

If $xy + \ln(y) = 2$, determine the exact value of $\frac { d y } { d x }$ when $y = 1$.

To differentiate $xy$, use the Product Rule.

$\frac{d}{dx}xy=\Big(1\frac{dx}{dx}\Big)y+x\Big(1\frac{dy}{dx}\Big)$