For f ( x ) = x 2 f' (x) = lim(x+h)-f(x) (x-1) , use the definition of differentiability h-0 h to determine if f(x) is differentiable at x = 1. A Question 2 (3 points) For f(x) = x , use the definition of differentiability f' (x) = limf( xth)-f(x) h-0 h to determine if f(x) is differentiable at x = 0.For the following graph: identify the regions/points that f(x) is not differentiable; explain. For the following graph: identify the regions/points that f(x) is not differentiable; explain. Y + X GAON-NWAUUse the following graph of x) to describe the behavior of f '(x). State where f '(x) is positive, negative. zero or not defined. Y 20 15 | 12 _.| Use the following graph of f(x) to describe the behavior of f '(x). State where f '(x) is positive, negative, zero or not defined. LY 107 8+ X 5 -3 -2Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is increasing, decreasing, does not exist or is flat. Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is increasing, decreasing, does not exist or is flat. Below is a graph of v(t), the velocity of an object over time. Describe the acceleration of the object, between t = 1 and t = 4 seconds. Velocity (mfg) Time (s) A person is standing and throws a ball into the air at time t = 0s and from a height of two meters. The graph shows the velocity of the ball over time. The function shown is v(t) = -2(t - 3). Describe the acceleration of the ball between t = 0s and t = 6s. Ad Velocity (m/s) Time (s)For the following graph, what is the displacement between t = 0 and t = 4? d 12 Distance (m) N '3 m 00 E t , I 6 For the following graph, what is the displacement of the object between t = O and t = 2? D. 12 \"a 10 (/l , ' \"x. ___V V 8 / l" cu , g s ,f ' \\\\ Q ~. t 0 O o O O I O \\- 0, 'l 2 3 4 5 8 7