anonymous
  • anonymous
Consider the function f(x)=x^4-4x^3-x^2+12x-2 1. Find the coordinates of the local maximum 2. Find the coordinates of the local minimum 3. Find the coordinates of the minimum of this graph.
Mathematics
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SOLVED
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katieb
  • katieb
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johnweldon1993
  • johnweldon1993
To find a local max or local min....take the first derivative of this function...then set that = 0...the values you get are critical points. then find the second derivative...and plug those critical points into that equation....if the result is >0 then you have a positive concavity which will show you a local MIN if the result is <0 then you have a negative concavity which will show you a local MAX
anonymous
  • anonymous
can i ask how to find the first derivative and second derivative?
johnweldon1993
  • johnweldon1993
Have you learned about derivatives??

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anonymous
  • anonymous
nope
johnweldon1993
  • johnweldon1993
@Jhannybean anyway to do this WITHOUT derivatives??
Jhannybean
  • Jhannybean
not sure...
johnweldon1993
  • johnweldon1993
The only way I can think of to do this...is via Calculus... If this is what level of math you are / will be in...then you should definitely read up about Derivatives @Mktlymb http://www.themathpage.com/aCalc/rules.htm is a pretty good link
anonymous
  • anonymous
im taking pre calculus honors. Okay I'll try to figure out by reading that site. Thanks
johnweldon1993
  • johnweldon1993
@jim_thompson5910 I saw you were on....do you know any other ways of approaching this?
jim_thompson5910
  • jim_thompson5910
the only other way is to use a calculator, but it's odd how Mktlymb hasn't learned about derivatives yet
jim_thompson5910
  • jim_thompson5910
if you have a TI calculator, they have min/max features in the graph mode which will help you find the local min/max
johnweldon1993
  • johnweldon1993
Thanks @jim_thompson5910 !
jim_thompson5910
  • jim_thompson5910
yw

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