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anonymous
 4 years ago
How can you find the intervals on which f is increasing and decreasing when f(x)=(x^4)(4x^3)+(4x^2)
anonymous
 4 years ago
How can you find the intervals on which f is increasing and decreasing when f(x)=(x^4)(4x^3)+(4x^2)

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IsTim
 4 years ago
Best ResponseYou've already chosen the best response.0Solve for x I guess. You know how to do that, right? Then, you make a chart with the data...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0all i did so far was find the derivative and replaced f(x) with 0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and found x= 0, 5, and 1

IsTim
 4 years ago
Best ResponseYou've already chosen the best response.0Ok. Those will be your interval points. They go: (infinity,o)(0,5) and (5,1)

IsTim
 4 years ago
Best ResponseYou've already chosen the best response.0To find the yint, sub in x=0

IsTim
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1327657008314:dw I mean that you make x=0 to for the yintercept.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0After you find the derivative equate it to 0 and solve for x, then substitute the 3 values you get into the given function. Now if it is negative,it has a max at that point and is therefore going to decrease in that interval whilst if it is positive it is a min and therefore it is going to increase in that interval.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://www.wolframalpha.com/input/?i=f%28x%29%3D%28x%5E4%29%284x%5E3%29%2B%284x%5E2%29

campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.0I'd graph the curve find the zeros, x=0, 2 are the zeros.... found by factorising next find the 1st derivative..... and find the stationary points... next find the 2nd derivative and any possible points of inflexion.... test the 1st derivative points in the 2nd derivative to test concavity... draw the graphs... and read the intervals off...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got it, thanks everyone

IsTim
 4 years ago
Best ResponseYou've already chosen the best response.0Good work everyone. BATMAN AWAY
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