Difference between revisions of "Math 3 (9.10)"
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Concave up:(1/3,oo) | Concave up:(1/3,oo) | ||
Concave down:(-oo,1/3) | Concave down:(-oo,1/3) | ||
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point of inflection (-2/3, 142/27) | point of inflection (-2/3, 142/27) | ||
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| + | increasing (-oo, -2) (2/3, oo) | ||
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| + | decreasing (-2, 2/3) | ||
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| + | concave up (-2, oo) | ||
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| + | concave down (-oo, 2)--[[User:Kzhu|Kzhu]] 13:15, 17 September 2010 (CDT) | ||
http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/productruledirectory/ProductRule.html | http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/productruledirectory/ProductRule.html | ||
Revision as of 13:15, 17 September 2010
Math 3 Notes (September 2010)
If f(x)= 2x^3-2x^2+x-1 find the zeroes, max/min, point of inflection,where the function is increasing/decreasing, and where the function is concave up/down.
Answers:
Zeroes: 1 Maximum: none Minimum: none Point of Inflection: (1/3,-22/27) Increasing: (-oo,oo) Concave up:(1/3,oo) Concave down:(-oo,1/3)
Find the interesting stuff for the following equation:
y = (x^3) + 2(x^2) - 4x + 2
ANSWERS:
zero -3.37
max (-2, 10)
min (2/3, 14/27)
point of inflection (-2/3, 142/27)
increasing (-oo, -2) (2/3, oo)
decreasing (-2, 2/3)
concave up (-2, oo)
concave down (-oo, 2)--Kzhu 13:15, 17 September 2010 (CDT)
http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/productruledirectory/ProductRule.html
