CPM Homework Banner

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 at right, 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 , use implicit differentiation in terms of , since the -coordinate and are changing over time.