Toán 12 Tìm GTNN, GTLN

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maxqn

[TEX]x + y = 1 \Rightarrow y = 1 -x [/TEX]
[TEX]A = 3^x + \frac3{3^x}[/TEX]
Xét [TEX]f(t) = t + \frac3{t} , t \in [1;3][/TEX]
[TEX]f'(t) = \frac{t^2-3}{t^2} \Rightarrow f'(t) =0 \Leftrightarrow t = \pm \sqrt3[/TEX]
[TEX]f(1) = 4 \\ f(3) = 4 \\ f(\sqrt3} = 2\sqrt3[/TEX]
Kluận min max thôi @_@
 
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