Tuesday, February 14, 2012

Feb 14 - Parametric Equations (Slope)

Today we talked about finding the slope of a curve defined by parametric equations. The formula for dy/dx in parametric is a consequence of the Chain Rule and should feel fairly intuitive:

dy/dx = (dy/dt) / (dx/dt)

We worked a couple examples, revisiting the basic derivative questions of finding the slope, writing the equation of a tangent line or determining where a graph might have horizontal or vertical tangent lines. Notice that while it is comfortable having an idea of what the graph looks like, it's not generally necessary to our work.

Notes are posted below.

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