Exploring Partial Derivatives in GeoGebra 3D

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=6U2rTOhS3fA

Link to typed up directions: https://bit.ly/2S2nesk • In this video we use GeoGebra 3D (head to geogebra.org and pick the 3D graphing calculator) to get a sense of what partial derivatives really are and how we can visualize them. We're trying to answer the question, But what are they? We focus on partial x, dz/dx, but repeat the construction for partial y at the end. • Specifically we: plot a curve, plot a vertical plane, plot the trace of the curve in the plane, put a point on the trace, calculate the appropriate partial derivative, and write the equation of the line tangent to the trace at the point in the plane. There's a lot going on and we use some sliders to make things more dynamic. • Being able to see what you're talking and thinking about helps a ton. Even just playing around with this kind of construction once or twice can help you picture it in your head going forward.

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