@patrickjmt explains everything you need to know about the derivative of a function, including the graphical relationship between a function and its derivative, how to sketch the derivative graph of a function, and how to find a derivative using the definition. He also covers how to find where a function is not differentiable, using the function's graph.
Watch the whole Calculus 1 playlist: • Calculus 1
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00:00 Intro
01:57 Example graph
06:26 Example problem
08:52 Where is a function not differentiable?