2. A function and its first 2 derivatives are given. f(x) = x - 4x (x+4)...

 

 

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2. A function and its first 2 derivatives are given. f(x) = x - 4x (x+4) (x +4) (3x - 4) f'(x) f(x) or ? f'(x) = 4(3x-4) (x+4) -24(x-4) (x + 4)4 f'(x) f(x) CU or CD ? f"(x) = a) Complete the table below for the first derivative chart and use it to determine where f(x) is increasing/decreasing. [2 marks] (-, -4) (-4, 4/3) -24(x-4) (x+4)4 b) Complete the table below for the second derivative chart and use it to determine where f(x) is concave up/down. [2 marks] (-, -4) (4/3,00) (-4,4) (4,00) c) Determine the location (if any) for Vertical/Horzontal Asymptotes, local extrema, points of inflection(s).[2 marks] 2. A function and its first 2 derivatives are given. f(x) = x - 4x (x+4) (x +4) (3x - 4) f'(x) f(x) or ? f'(x) = 4(3x-4) (x+4) -24(x-4) (x + 4)4 f'(x) f(x) CU or CD ? f"(x) = a) Complete the table below for the first derivative chart and use it to determine where f(x) is increasing/decreasing. [2 marks] (-, -4) (-4, 4/3) -24(x-4) (x+4)4 b) Complete the table below for the second derivative chart and use it to determine where f(x) is concave up/down. [2 marks] (-, -4) (4/3,00) (-4,4) (4,00) c) Determine the location (if any) for Vertical/Horzontal Asymptotes, local extrema, points of inflection(s).[2 marks]