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Please help. I'm confused. Consider the function / () = de - xi = ci (6 - )- Note that and / la =- 6

Please help. I'm confused.

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Consider the function / () = de - xi = ci (6 - )- Note that and / la =- 6 = (a) What are the critical numbers of ? (Use commas to separate answers, if necessary.) Explain your reasoning (on your paper) using the language of calculus. (b] On which interval(s) is f increasing? (Use commas to separate intervals, if necessary. Type "infty" in place of co where needed.} On which interval(s) is f decreasing? (Use commas to separate intervals, if necessary. Type "infty" in place of co where needed ) Explain your responses (on your paper) using the language of calculus. (c) Give the coordinates of the local extrema, rounding to two decimal places and using commas to separate ordered pairs if necessary. If either type of extremum does not exist, say "none." Local maxima: Local minima: Explain your reasoning (on your paper) using the language of calculus. (d) On which interval(s) is f concave upward? (Use commas to separate intervals, if necessary.] On which interval(s) is f concave downward? (Use commas to separate intervals, if necessary.) Explain your responses (on your paper) using the language of calculus. (e) Give the coordinates of the point(s] of inflection, rounding to two decimal places and using commas to separate ordered pairs if necessary. If no points of inflection exist, say "none." (f) What are the absolute maximum and absolute minimum values of f on [0, 10]? (Round to two decimal places if necessary) absolute maximum value: absolute minimum value

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