Directions Consider the following function f z at a 2 Part 1 Difference Quotient It h 0 then the difference quotient can be simplified into the form Ah B That is 2 h f 2 Ah B h where A and B are constants Find these constants A 0 and B2 Note It s possible for one or more of these constants to be 0 Part 2 Derivative Use the simplified expression from Part 1 to then calculate the derivative f 2 f 2 2 f x 2x 6 where A and B are constants Find these constants A 0 and B 2 Note It s possible for one or more of these constants to be 0 f 2 2 f 2 lim h f 2 h f 2 J 21 J 2 h Part 2 Derivative Use the simplified expression from Part 1 to then calculate the derivative f 2 f 2 lim 40 Part 3 Tangent Line Find the equation of the tangent line to the curve y f a at a 2 Tangent Line y Ah B f 2 h f 2 h