Please answer each of these questions to the best of your ability. You are welcome to re-watch parts of any of the videos to help you.

Determine the slope of the line tangent to the curve at the point .

Slope

Suppose and are related by the equation . Further suppose that changes by a very small amount, represented by . Write an expression for the corresponding change in .

Suppose and represent the measures of covarying quantities and that the covariation of and is constrained by the equation . At what rate does change with respect to when and ?