This document contains solutions to two calculus problems involving derivatives of parametric equations. For the first problem, the document finds the derivative dy/dt when (x,y) = (1/2,√3/2) for the equation x2 + y2 = 1. It determines that dy/dt = -√3/3. For the second problem, it finds the derivative dx/dt when (x,y) = (√2/2,√2/2) for the same equation, given that dy/dt = -2. It determines that dx/dt = 2.

1. x ² + y² = 1 Rachel Fiddelman

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