Main Ideas

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

The derivative function $f'(x)$ shows you the slope of the tangent line to $f(x)$ at each value of $x$
If $f(x)$ is increasing, $f'(x)$ has positive values; if $f(x)$ is decreasing, $f'(x)$ has negative values
If $f(x)$ is concave up, then the slope of tangent lines to $f(x)$ increase as $x$ increases; thus, $f'(x)$ will be increasing