Can this inequality be proved with differentiation? – math.stackexchange.com

Can this inequality be proved with differentiation? – math.stackexchange.com

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$\frac{a+b}{c} + \frac{b+c}{a} + \frac{c+a}{b} \geq 6$ I could do it with letting $x=\frac{a}{b}$, $y=\frac{b}{c}$, $z=\frac{c}{a}$, but I wonder if it is solvable somehow with differentiation. ...

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