Question

What is the differentiation of $uv$?

Answer 1

If $u$ and $v$ are the two functions, then the differentiation of the product of $u$ and $v$ is,

$\frac{d}{dx}\left(uv\right)=u\frac{dv}{dx}+v\frac{du}{dx}$

or, the differentiation of $uv$ is,

$\left(uv\right)\text{'}=uv\text{'}+vu\text{'}$