2.2/2.3 Questions Problem 5. Find the x-value(s) where g(x) = x - 3x - 45x + 19 has horizontal tangent line(s). You can use this Desmos graph if you get stuck or to check your answer: https://www.desmos.com/calculator/ytxhis13rb Drag the slider for a to change the point at which the black line is tangent to the graph of g(x). Problem 4. Let f(x) = 3 * Vx. (a) Find f'(x) using derivative rules. Problem 6. Find an (x) if h(x) = ~ 8 (x) 2x+ f (x) . Your answer should have ax ve I and 3 in it. (b) Calculate f' (4). (c) Find the equation of the line perpendicular (or "normal" in physics) to the curve y = 3 * vx at the point (4, f(4)). Problem 7. If f (x) = (x +8)(x - 5)(x2 +4) find f'(x).Problem 8. Using the digits 1 to 9 at most one time each, 1. Fill in the boxes to create a function f (as) so that line tangent to it at x = 1 has positive slope f(x) = x3 2. Fill in the boxes to create a function so that f ' (1)