Calc 1: Differential Calculus

Lecture 10: The Derivative

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In this video, we define the derivative, which we already hinted at in the previous video.

You should also watch the video The paradox of the derivative, which is from 3Blue1Brown's series "Essence of calculus". The videos in this series are made using some very nice animations that make it much easier to visualize certain mathematical concepts. And Grant Sanderson, the creator, does a very good job of explaining what the derivative is and why it is so counterintuitive. I highly recommend you watch this video. If you have to choose between watching my video and 3Blue1Brown's video, choose the 3Blue1Brown video every time.