Math 3 (9.10)
Math 3 Notes (September 2010)
Find the derivative of the following function: h(x) = (3x^4 + 2x^3 + 5) (x^2 - 3)
ANSWER:
h'(x) = 18x^5 + 10x^4 -36x^3 - 18x^2 + 10x
Samantha Heinle
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) --Yarefeen 13:18, 17 September 2010 (CDT)
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 (-∞, -2) (2/3, ∞)
decreasing (-2, 2/3)
concave up (-2, ∞)
concave down (-∞, 2)--Kzhu 13:15, 17 September 2010 (CDT)
http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/productruledirectory/ProductRule.html