anonymous
  • anonymous
???
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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welshfella
  • welshfella
|dw:1440801196586:dw|
anonymous
  • anonymous
Yes thats it
anonymous
  • anonymous
I derived it and got f'(x) = 3x^(-2/3) + 6x^(1/3)

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welshfella
  • welshfella
yes thats right
welshfella
  • welshfella
no you need to find the zeroes of this
anonymous
  • anonymous
Well this is what I have so farf'(x) = 3x^(-2/3) + 6x^(1/3) f"(x) = -2x^(-5/3) + 2x^(-2/3) f'(x)= -(1/2) f"(-1/2) = 6*2^(2/3)
anonymous
  • anonymous
Am I on the right track?
welshfella
  • welshfella
the zero of f'(x) = -0.5
welshfella
  • welshfella
and its a minimum yep
anonymous
  • anonymous
Do I need the last step that I did or is that unnecessary?
welshfella
  • welshfella
no you need the last step - the second derivative is positive indicating a minimum
welshfella
  • welshfella
The function might have some inflection points though ( Non horizontal ones). I cant remember how to find those to be honest!
welshfella
  • welshfella
I'll graph it to see. Yes there is one close to x = 0
anonymous
  • anonymous
Okay so I solve the last step and then find the inflection points?
welshfella
  • welshfella
maybe cant remember I'd have to look that up
anonymous
  • anonymous
Okay
welshfella
  • welshfella
i think you equate f" to zero and solve
anonymous
  • anonymous
Thats it?
welshfella
  • welshfella
do you get x = 1 for that?
welshfella
  • welshfella
now you have to look for concavity each side of this point
anonymous
  • anonymous
Let me see
welshfella
  • welshfella
- no needn't do that They just want the x coordinate of the point of inflection
welshfella
  • welshfella
x = 0 will satisfy f" = 0 as well . That is the one i see on the graph.
anonymous
  • anonymous
So is it done as it?
welshfella
  • welshfella
i think so . there's a definite point of inflection at x =0 on the graph
anonymous
  • anonymous
Okay thank you!!! So x=0 and x=-.5 are my answers?
welshfella
  • welshfella
cant see one at x = 1 though
welshfella
  • welshfella
-0.5 is a minimum x = 0 is a point of inflection
anonymous
  • anonymous
Okay thank you!
welshfella
  • welshfella
yw

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