anonymous
  • anonymous
Math
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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welshfella
  • welshfella
can you find the derivative ?
anonymous
  • anonymous
Yeah its -4x^3 +4x
anonymous
  • anonymous
http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=a2bc91cf95686cd1a6ae16e6293626f2&title=Critical%20Points%20Calculator&theme=blue&i0=%E2%80%93x%5E4%20%2B%202x%5E2&podSelect=&includepodid=Input&includepodid=Result&includepodid=Solution&includepodid=NumberLine&includepodid=RootPlot&showAssumptions=1&showWarnings=1

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anonymous
  • anonymous
x = -1 x = 0 x = 1
anonymous
  • anonymous
It can only be two of those
anonymous
  • anonymous
x = -1 x = 1
anonymous
  • anonymous
I think its -1 and 0 is that correct @welshfella ?
amoodarya
  • amoodarya
f'=-4(x^3-x)|dw:1435946243012:dw|
amoodarya
  • amoodarya
|dw:1435946308542:dw|
welshfella
  • welshfella
we can take values close to the turning point when x = -1.1 derivative is positive so increasing at -0.9 derivative is negative so decreasing so its not x = -1
welshfella
  • welshfella
- as you can see from amoodarya's table it changes from decreasing to increasing at x = 0
anonymous
  • anonymous
So only at 0?
welshfella
  • welshfella
rhe graph looks like |dw:1435946514408:dw|
welshfella
  • welshfella
3 turning points
welshfella
  • welshfella
yes
welshfella
  • welshfella
there's a local maximum at -1 and 1 and a minimum at 0
anonymous
  • anonymous
Okay thank you!
welshfella
  • welshfella
yw

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