The Chain Rule

Posted on November 23, 2008 by

Apply the nice Chain Rule: $\frac{d y}{d x}=\frac{d y}{d u}\frac{d u}{d x}$ to ln(-2t) where:

y=ln (u) and u =-2t

then

$\frac{d y}{d u}=1/u$ and $\frac{d u}{d t}=-2$

so by the Chain Rule:

$\frac{d y}{d t}=\frac{d y}{d u}\frac{d u}{d t}=\frac{1}{-2t}\times-2=\frac{1}{t}$

This entry was posted in Uncategorized. Bookmark the permalink.