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Home > CALC > Chapter 7 > Lesson 7.4.4 > Problem 7-212


A particle moves along the curve so that its -coordinate increases at the constant rate of units per second. How fast is its angle of inclination changing when ?

(As shown in the diagram, is the angle between the segment joining the point to the origin and the -axis.)

What are the opposite and adjacent sides here?

To obtain , you will have to use implicit differentiation in terms of , since the -coordinate and are changing over time.