1. What is the slope of the tangent line through point (2,f(2)) if fis a function such that f' (2) = x32 2. Given fx =-x', complete the following : a Graph the f (2) b) Draw tan gent lines to the graph at points whose x - coordinates are - 2, 0, and 1. c Find f' x ) using the definition of derivative : lim f(Ith)-f(I) h-0 h d Find f' (-2), f (0) , and f' (1). The slopes should match those of the lines you drew in part 6 ) 3. Find f(x) using the definiton of derivative if f(x) =2sin(x). Omit