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

7-212.

A particle moves along the curve

*y =*2so that its^{x}*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.