The derivative function of f(a:) : 2:1: 1 is a constant function. is a linear function with positive slope. is a linear function with negative slope. OOOO is a quadratic function. Let f(:I:) : $1/3 . Which of the following iS/are true? Select all that apply. [I f has a horizontal tangent line at 3:20 . [I f has a vertical tangent line at :1: = 0 . [I f is differentiable at 3:20 . [I f is differentiable for all a: not equal to 0 . [I f is continuous at 2:20 . Below are the graphs of four functions, with f the first displayed function. Match the remaining graphs with the labels f' , g, and g'. f(x) 2 -1 [ Select ] -3 [ Select ] F ' [ Select ] V [ Select ] V -3 -2The derivative of y=x +3x +1 is... Oy' = 3ac2 + x Oy' = 3x2 + 3x Oy' = 3x2 + 3 Oy' = 23 + 3 Oy' = 3x2 + 4Complete the following with mger numbers. - If f(:1:) 26$ +3.11: , then f'(0) = - If g($)=3m2+2e$, then 9"(0) = . If h(m):$+l, then 1111) 2 CC m2+l . If Mm): , then k"(1)= Let y=(a ta) ed . This function has a tangent line parallel to the line y=a at... Ox =0 Oz=1 Ox=-1 Ox = 2 Ox = 3The quotient represents... 0 The derivative of f at 32:4. 0 The average rate of change of f on the interval [3 , 5] . O The average of f(3) and f(5). O The instantaneous rate of change of f at :13: 5 . O The instantaneous rate of change of f at 1:23 . Which of the following represent the instantaneous rate of change of f(t) at t=to ? Check all that apply. Of'(to) Of (to ) O f (t) - f(to) lim t->to t - to Of"(to) O lim f (to + h) - f(to) h-0 hIf 3(t) represents the position of an object at time t , which quantity represents the acceleration of the object at t=4