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) = 18(x^5) + 10(x^4) -36(x^3) - 18(x^2) + 10x
--Sheinle 13:28, 17 September 2010 (CDT)
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
Find the first derivative of the following equation:
f(x) = (x)/(x^2-4x+5)
ANSWER: f'(x) = (-x^2+5)/(x^4-8x^3+26x^2-40x+25)--Mhansen 13:36, 17 September 2010 (CDT)
Math 3 (9.10)/Rohan's Question Rramchand 13:43, 17 September 2010 (CDT)
Find the antiderivative of (x^3)-4(x^2)+10x.
ANSWER: (1/4)x^4 - (4/3)x^3 + 5x^2
--Awang 13:46, 17 September 2010 (CDT)
http://wiki.sjs.org/wiki/index.php/Math_3_(9.10)-jcowan
Find the derivative for the product of these two functions: f(x)=4x^3-5 g(x)=x^3-3x
ANSWER: h'(x)=24x^5-48x^3-15x^2+15 --Areyes 14:12, 17 September 2010 (CDT)
Find the derivative of f(x)=(2x+1)/(3x^2-2)
ANSWER: f'(x)= (-6x^2-6x-4)/(9x^4-12x^2+4) --Alandrum 14:17, 17 September 2010 (CDT)
Find the derivative of f(x)=(x+7)/((x+1)^2) (This interesting link might help http://en.wikipedia.org/wiki/Walrus)
ANSWER: f'(x)= (-x-13)/((x+1)^3)
Why is a constant divided by zero undefined?
ANSWER:
1) Consider f(x) = 1/x. As x approaches 0 from the left, f(x) approaches negative infinity. As x approaches 0 from the right, f(x) approaches infinity. Thus, it is undefined.
2) For 0/0 -- 0 divided by a constant integer will be 0. A constant integer divided by zero will be either infinity or negative infinity. It could be 0, positive infinity, or negative infinity.
Note: These answers might be wrong. idklol --Kwong 14:14, 18 September 2010 (CDT)
