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What does the derivative of the coordinate equation r(θ) in polar coordinates represent? (as the derivative in right-angle coordinates represents the slope of the tangent line)
You can refer to Baidu Encyclopedia: /view/3443403.htm
In polar coordinates, the ratio of the polar radius of a curve, r(θ), to its derivative, r'(θ), is equal to the tangent of the angle between the polar radius and the tangent line of the curve.