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anonymous
 one year ago
???
anonymous
 one year ago
???

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welshfella
 one year ago
Best ResponseYou've already chosen the best response.2dw:1440801196586:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I derived it and got f'(x) = 3x^(2/3) + 6x^(1/3)

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2no you need to find the zeroes of this

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well 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
 one year ago
Best ResponseYou've already chosen the best response.0Am I on the right track?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2the zero of f'(x) = 0.5

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2and its a minimum yep

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do I need the last step that I did or is that unnecessary?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2no you need the last step  the second derivative is positive indicating a minimum

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2The function might have some inflection points though ( Non horizontal ones). I cant remember how to find those to be honest!

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2I'll graph it to see. Yes there is one close to x = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay so I solve the last step and then find the inflection points?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2maybe cant remember I'd have to look that up

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2i think you equate f" to zero and solve

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2do you get x = 1 for that?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2now you have to look for concavity each side of this point

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2 no needn't do that They just want the x coordinate of the point of inflection

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2x = 0 will satisfy f" = 0 as well . That is the one i see on the graph.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is it done as it?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2i think so . there's a definite point of inflection at x =0 on the graph

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you!!! So x=0 and x=.5 are my answers?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.2cant see one at x = 1 though

welshfella
 one year ago
Best ResponseYou've already chosen the best response.20.5 is a minimum x = 0 is a point of inflection
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