y=[4/(x^2)] +{9/[400-(x^2)]}讨论其单调性,并求出X值使y最小

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y=[4/(x^2)]+{9/[400-(x^2)]}讨论其单调性,并求出X值使y最小y=[4/(x^2)]+{9/[400-(x^2)]}讨论其单调性,并求出X值使y最小y=[4/(x^2)]+{9

y=[4/(x^2)] +{9/[400-(x^2)]}讨论其单调性,并求出X值使y最小
y=[4/(x^2)] +{9/[400-(x^2)]}
讨论其单调性,并求出X值使y最小

y=[4/(x^2)] +{9/[400-(x^2)]}讨论其单调性,并求出X值使y最小
柯西不等式呀~
(4/x²+9/(400-x²))×(x²+(400-x))≥(2+3)²=25
y≥25/400=1/16
取等条件是(4/x²)/(9/(400-x²)) = (x²)/(400-x²)
x=4倍根号10