Main Ideas

$\newcommand{\arraycolsep}[3]{} \newcommand{\dd}[2][]{\frac{d #1}{d #2}} \newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}} \newcommand{\veci}{\vec{\hat{\bf\imath}}} \newcommand{\vecj}{\vec{\hat{\bf\jmath}}} \newcommand{\utan}{\vec{\hat{t}}} \newcommand{\unormal}{\vec{\hat{n}}} \newenvironment{amatrix}[1]{% \begin{bmatrix} }{% \end{bmatrix} }$

$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$

Here are the main points that are addressed in the video. Please read these and think about them as you watch.

The product rule is used to differentiate the product of two (or more) functions.
The derivative of a product is not the product of the derivatives.
The product rule says $\dfrac {d}{dx} \left [ f(x) g(x) \right ] = f'(x) g(x) + f(x) g'(x)$ .