A particle moves along the curve y = 2x so that its x-coordinate increases at the constant rate of 5 units per second. How fast is its angle of inclination θ changing when x = 2?
(As shown in the diagram, θ is the angle between the segment joining the point to the origin and the x-axis.) Homework Help ✎
What are the opposite and adjacent sides here?
To obtain θ', you will have to use implicit differentiation in terms of t, since the x-coordinate and θ are changing over time.