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Sketch the graph of f'(x)=4x. Then sketch a possible graph of f. Is more than one graph possible? Use the graphing tool to graph f'(x) = 4x. Click to enlarge graph Which of the following is a possible graph of f? OA. O C. Q G B. O D. S CE 10. B -6 A b 10- 8 164 4 2 Ay --2- 4 -6 -8-

A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t)= -4.9t² +30t. a. Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t= 1 and t=2 seconds. *** A. a. v(t)=20.2t; b. v(1)=20.2 m/s, v(2)=40.4 m/s B. a. v(t)= -9.8t+30; b. v(1)=20.2 m/s, v(2) = 10.4 m/s OC. a. v(t)=20.2t; b. v(1)= -20.2 m/s, v(2)=-40.4 m/s D. a. v(t)= -9.8t +30; b. v(1) -20.2 m/s, v(2)=-10.4 m/s

Let f(x)=2x3-3x²-120x+6. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 60. a. The tangent line is horizontal at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is 60 at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.)

Use the graph of g in the figure to do the following. a. Find the values of x in (-4,2) at which g is not continuous. b. Find the values of x in (-4,2) at which g is not differentiable. 40- 8 16- 12 2 a. In the interval (-4,2), g is not continuous at 0 X= (Use a comma to separate answers as needed.) b. In the interval (-4,2), g is not differentiable at (Use a comma to separate answers as needed.) X=