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swin2013
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Second derivative test to find the local extrema for the function?
 one year ago
 one year ago
swin2013 Group Title
Second derivative test to find the local extrema for the function?
 one year ago
 one year ago

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swin2013 Group TitleBest ResponseYou've already chosen the best response.0
y = x^580x+100
 one year ago

timo86m Group TitleBest ResponseYou've already chosen the best response.0
i think it has to do with finding the f''(x)=0
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
I know that
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
y'(x) = 5x^4 80
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.1
\[y' = 5x^4 8\] \[y'' = 20x^3\]
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
y''(x) = 20x^3
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.1
set y'' = 0 and solve.
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
i got 0... so i wasn't sure if that's right
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
0 = 20x^3
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
Okay thanks!
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
Oh i forgot, is it the local minimum (x=0)?
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.1
If the second derivative is zero then the critical point can be anything. Look @ the graph of ur function.
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
so it's just the local extrema is located at x=0
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
and if it's like... 3 and 3 as the local extrema. I don't know if it's a local max or min correct?
 one year ago

abb0t Group TitleBest ResponseYou've already chosen the best response.1
Only if it's zero. if < 0 = relative min if > 0 = relative max.
 one year ago

swin2013 Group TitleBest ResponseYou've already chosen the best response.0
ohhhh ok! Thank you so much!
 one year ago
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