Consider the function f(æ) 22 + 3x? – 12x – 18. a. Find the first derivative. f'(x) = %3D b. List any critical values. c. Identify intervals of increase.

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Consider the function f(x)
2x3 + 3x? – 12x – 18.
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 derivaitve. f''(x) =
f. Use parts b through e to identify maximums as points.
g. Use parts b through e to identify minimumns as points.
h. Use the second derivative to identify intervals where f(x) is concave up.
i. Use the second derivative to identify intervals where f(æ) is concave down.
j. Use the second derivative to find any inflection points.
Transcribed Image Text:Consider the function f(x) 2x3 + 3x? – 12x – 18. 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 derivaitve. f''(x) = f. Use parts b through e to identify maximums as points. g. Use parts b through e to identify minimumns as points. h. Use the second derivative to identify intervals where f(x) is concave up. i. Use the second derivative to identify intervals where f(æ) is concave down. j. Use the second derivative to find any inflection points.
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