At one of the labeled points on the graph of the figure below, both f'(x) and f" (x) are negative. Which point is it? C D E A B X Oa. C Ob. B O c. E Od. AThe cost C (in dollars) to produce 9 gallons of a chemical can be expressed as the function 0' : g). Suppose f(300) : 2100 and f'(300) : 4. Use this information to approximate the cost to produce 302 gallons. 0 a. 2106 dollars 0 b. 2108 dollars 0 c. 2104 dollars 0 d. 2102 dollars \f2. Let f(x) = 17x + 11. Use the definition of the derivative to calculate f (x).68. For what values of x is the function y = x -5x both increasing and concave up?80.11. ball is dropped from the top ofthe Empire State building to the ground below. The height,y, of the ball above the ground [in feet) is given as a function of time, t [in seconds], by y : 1250 16?. a. Find the velocity of the ball at time t. What is the sign of the velocity? Why is this to be expected? b. Show that the acceleration ofthe ball is a constant. What are the value and sign of this constant? c. When does the ball hit the ground, and how fast is it going at that time? Give your answer in feet per second and in miles per hour [1 ft/sec = 15/22 mph]. Use derivative rules (no limits) to find the derivative of f(l':) : 3 + 2:1:1T a: O a _ 3 7r f'[:r:) _ g +27r3: 6 O b Jam?) _ _ +2$7r1 $2 Use derivative rules (no limits) to find the derivative of f(ac ) = ac2. ac . O a. f'(x) = 5 O b. f'(x) = 2xx O c. f' (ac) = O d. f' (ac ) =Over which of the following intervals is the polynomial f(a:) : 3:3 :r: a decreasing function? Find all the values of m for which the function f graphed below appears to be not differentiable. O a. m:1,U,1 O b. 3::1,1 O c. $:1 Q d. m:0,1 Use your calculator to help you answer this question. Where does the graph of f($) : \\3/5 : m1/3 appear to be not differentiable? O a. nowhere: it appears to be differentiable for all 3:. O b. a: : 1 O c. :1? : 1 Q d. :13 : 0 Find the value of k so that the function shown below is continuous on any interval: kx if 0