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x-4-x-2-3-Max-5-3-

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Question Number 62211 by Tony Lin last updated on 18/Jun/19
(x/( (√(4−x^2 ))+3))Max=(5/3)?
x4−x2+3Max=53?
Commented by MJS last updated on 17/Jun/19
what does this mean?
whatdoesthismean?
Commented by Tony Lin last updated on 17/Jun/19
how to find the maximum value of (x/( (√(4+x^2 ))−3)) ?
howtofindthemaximumvalueofx4+x2−3?
Commented by MJS last updated on 18/Jun/19
f(x)=(x/( (√(4−x^2 ))+3)) is defined for x∈[−2; 2] the derivate is not defined for the borders ⇒ if there′s no other minimum or maximum look at these borders f(2)=(2/3) is the maximum because f′(x)=((4+3(√(4−x^2 )))/((3+(√(4−x^2 )))(√(4−x^2 ))))>0 ∀x∈]−2; 2[
f(x)=x4−x2+3isdefinedforx∈[−2;2]thederivateisnotdefinedfortheborders⇒ifthere′snootherminimumormaximumlookatthesebordersf(2)=23isthemaximumbecausef′(x)=4+34−x2(3+4−x2)4−x2>0∀x∈]−2;2[

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