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.) Homework Help ✎
What are the opposite and adjacent sides here?
To obtain , use implicit differentiation in terms of , since the x-coordinate and are changing over time.
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