8. a. Find f'(x) for f(x) = v4x + 1 using the definition of the derivative. b. Find an equation of the tangent line to fat x = 1 9. a. Copy the graph below of the function fby hand and directly below it, sketch its derivative by hand. b. Sketch the graph of a single function f that satisfies all of the following conditions: () lim f(x) = -2 ii) lim f(x) = X-4-00 X-+00 0 iii) lim f(x) = 00 x-3+ iv) lim f(x) = -00 v) lim f(x) = -2 vi) fis x--3 *+3+ continuous from right at 3