Differentiating Parametric equations

Today in class we used our prior knowledge in finding the slope of tangent lines to find the slope of lines tangent to parametric equations. By using the Chain rule, we found that the derivative of y with respect to x equals the derivative of y with respect to t divided by the derivative of x with respect to t (as shown in notes). Using prior knowledge from the fall semester, it is easy to apply the same rules to this concept with a new variable t. Answers may be left in the y-intercept form when solving for the equation of the line tangent to the curve.