y=(x+1)^2/3(x-5)^2的极值,

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y=(x+1)^2/3(x-5)^2的极值,y=(x+1)^2/3(x-5)^2的极值,y=(x+1)^2/3(x-5)^2的极值,y''=(((x+1)^2)''*3(x-5)^2-(x+1)^2*(3

y=(x+1)^2/3(x-5)^2的极值,
y=(x+1)^2/3(x-5)^2的极值,

y=(x+1)^2/3(x-5)^2的极值,
y'=(((x+1)^2)'*3(x-5)^2-(x+1)^2*(3(x-5)^2)')/((3(x-5)^2)^2)=(-4(x+1))/((x-5)^3)
y'>0→-1<x<5
y'<0→x<-1或x>5
(-∞,-1)减(-1,5)增
在x=1处取极大值 f(-1)=0