ESSAY. You must show your work. Write your answer in the space provided or on a separate sheet of paper. a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of fat (a, f(a)) for the given value of a. 11) f(x) = 1 1 = -1 X+3Find the second derivative of the function. 12) A particle shoots straight up into the air with an initial velocity of 196 meters per second (m/sec). The height h(t) (in meters) of the object is modeled as a function of time t (in seconds) in the following equation of motion: h(t) = 196t - 9.812 Determine: a. How high does the object travel? b. What is the velocity of the object when it is 735 meters above the ground on the way up? On the way down? C. At what velocity does the object hit the ground