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anonymous
 5 years ago
Given f(x)=x^34x^22. State the intervals on which f is increasing and on which f is decreasing.
anonymous
 5 years ago
Given f(x)=x^34x^22. State the intervals on which f is increasing and on which f is decreasing.

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0\[f' = 3x^2 8x =0\] \[x(3x8)=0\] \(x=0,8/3 \) right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then maybe this; but we gotta check to make sure that x=0 aint an inflectionin disguise <.........0...........8/3...........>  + +   +  +  +

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Wait, where are you getting the equation from?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its called a derivative; the first derivative tells you how the function is moving.... its slope at any given point

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when the derivative =0 that means we are bending back on itself and changing direction ..usually. but, an inflection in a graph can also show a 0 in the 1st derivative

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0but; 6x8 aint =0 at x=0 so its a bender

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i gues the long way would be to factor the equation if we can

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i just assumed by the nature of the question that it was a derivative type question lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=x^34x^22 might help you see whats happenin with it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm not up to calc yet :/ sorry...
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