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soccergal12
Group Title
find the absolute extrema of the following function on the given interval:
f(x) = x^2 / (x^2 + 3) , [1,1]
 2 years ago
 2 years ago
soccergal12 Group Title
find the absolute extrema of the following function on the given interval: f(x) = x^2 / (x^2 + 3) , [1,1]
 2 years ago
 2 years ago

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mathteacher1729 Group TitleBest ResponseYou've already chosen the best response.0
I guess you have to use calculus and are not allowed to use a calculator?
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
yeah, we aren't allowed to use a calculator
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.2
\[ f'(x)=\frac{6 x}{\left(x^2+3\right)^2}\\ f'(x) >0 \text { if} x >0\\ f'(x) <0 \text { if} x<0\\ f'(x) =0 \text { if} x=0\\ \]
 2 years ago

mathteacher1729 Group TitleBest ResponseYou've already chosen the best response.0
Do you know how to use the 1st derivative test?
 2 years ago

eliassaab Group TitleBest ResponseYou've already chosen the best response.2
Hence we have to examine f(1)=1/4 f(1)=1/4 f(0)=0 Max 1/4 and Min=0
 2 years ago

soccergal12 Group TitleBest ResponseYou've already chosen the best response.0
oh okay. thank you
 2 years ago
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