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Related rates: ladder example

You drag the end of a 10 feet ladder along the ground at a rate of 2 ft/s.

How fast is its top along a wall descending as a function of time, given it started vertical at t  =0?

x2 + y2 = 100, x = 2t until t = 5.

2xdx + 2ydy = 0

which gives the chain rule: