<p>\(\frac{\mathrm{d}}{\mathrm{d}x}\left( uv \right)=v\frac{\mathrm{d}u}{\mathrm{d}x}+u\frac{\mathrm{d}v}{\mathrm{d}x}\)</p>

Let \(u\) and \(v\) be differentiable functions of \(x\). Choose the rule that matches the way the two functions are combined.

\[\frac{\mathrm{d}}{\mathrm{d}x}(uv)=v\frac{\mathrm{d}u}{\mathrm{d}x}+u\frac{\mathrm{d}v}{\mathrm{d}x}\]

Differentiate one factor at a time and keep the other factor unchanged.

Product Rule