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Consider the function f(x) = 2x-3x - 36x + 54. a. Find the first derivative. f'(x) = b. List any critical values. c. Identify

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Consider the function f(x) = 2x-3x - 36x + 54. a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivative. f''(x) = f. Use parts b through e to identify any maximums as ordered pairs. g. Use parts b through e to identify any minimums as ordered pairs. h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to identify any inflection points as ordered pairs.

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