Please answer the following questions in full:

1. Use the limits definition lim f(xth) - f(x) to find an expression for the derivative to the functions; a. f (X) = 3x b. f (x) = 3/ x c. f (X) = 3x22. a. Use the limits definition lim (x+ h) - j(x) h-0 to find an expression for the derivative to the curve y = (1 / 3 ) x 3 b. Using your answer to a) find the slope of the tangent to the curve y = (1/3)x to complete the following table. X Slope of tangent -3 -2 -1 0 2 34. a. Find an expression for the instantaneous rate of change of distance with respect to time (velocity) of a falling object if s = -4.9t (where s is distance (meters) and t is time (seconds)). (Ignore the effect of air resistance) b. Use your answer for a) to find the velocity at the times listed on the table below. Time Velocity 1 sec 5 sec 1 min