An ant is moving on the coordinate plane. When the ant is at point (x, y), the angle of the ant is defined as arctan(y/x). If the ant is currently located at the point (5, 5), its x-coordinate is changing at a rate of -2 units/second, and its y-coordinate is changing at the rate of 4 units/second, what is the rate of change of the angle of the ant?

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