4. (10 pts each) Find the following: a. Ify = -3x2 + 2x -= find the derivative x. b. If g(x) = (2x]* + n)' find the derivate g' (x). c. If f(x) = I'(1-) find the value of f'(0). x-55. Suppose that a ball is thrown up in the air from an initial height of 1 feet. Its distance above the ground at any time t seconds after the throw is given by s(t) = -16tz + 48t + 4. a. (5 pts) Find the second derivative of s(t) and explain its significance. b. (5 pts) How many seconds will it take for the ball to reach its maximum height? (Give an EXACT answer) c. (5 pts) How fast is the ball traveling when it hits the ground? (Round to 2 decimal places if necessary)