If f(x) = 25x + 7, find f'(1). Use the limit definition of the derivative to find the instantaneous rate of change of f(x) x=3 = 2x + 7x +3 at The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. 5 4 3 2 10 -9 -8/-7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 1-5+ 19 2 5 789 10 Two vehicles start out traveling side by side along a straight road. Their position functions, shown in the following graph, are given by s = f(t) and s = g(t), where s is measured in meters and t is measured in seconds. 10+ 9 8 7 6 5 4 3 2 1 s=f(t) 2 Vehicle f Vehicle g 3 Which vehicle has traveled farther at t = s = g(t) Vehicle f O Vehicle g 2 seconds? What is the approximate velocity of the f vehicle at t = 3 seconds? meters per second What is the approximate velocity of the g vehicle at t = 3 seconds? meters per second Which vehicle is traveling faster at t = 4 seconds?