Problem 13: Polar Derivatives

polar2011-2012

Find all angles on the interval p13im0 at which the tangent line to the graph of the polar equation p13im1 is horizontal.


Solution:

Express the polar equations parametrically (in terms ofx and y) and calculate the slope of the polar equation.

p13im2

The tangent lines to the polar graph are horizontal when the numerator of this derivative is equal to 0. In other words, at p13im3.

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