Calculus AB Independent Study Conic Sections Study Sheet Notes: The point here is just to practice with the chain rule. You need to have each part in the derivative perfect in order to count it as correct-there are no little forgiveable errors here. On the other hand, there may be times when you make different algebraic choices from ours. As long as your answer is equivalent to ours (you can use algebra to get from one answer to the other), it's fine. Do not simplify these; simplification is a waste of time and a great place to make errors. On the other hand, be sure you've answered the question. If the question asks for a, an implicit function that binds @ up with x and y isn't enough. You do have to solve explicitly for a = something. Interestingly enough, this is always possible, though the "something" will usually contain both x's and y's. 1. Find for each of the following equations. A. 4x2 + y2 = 20 B. x2 + 5x2y+ 13 = 12 C. x2 + Jxy = 13 D. cos(xy) = sin(v) E. xy = sec(v) 2. Find the slope of the tangent line to the curve at the given point. A. x2 25 + 36 = 1, at the point (-3, 24 ). B. Sx2 + 4y2 = 56, at the point (2, -3). C. xy + 16 = 0, at the point (-8, 2)