设函数f(x)=aex+1/aex+b (a>0) (1)求f(x)在[0,+∞]内最小值,

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设函数f(x)=aex+1/aex+b (a>0) (1)求f(x)在[0,+∞]内最小值,
设函数f(x)=aex+1/aex+b (a>0) (1)求f(x)在[0,+∞]内最小值,

设函数f(x)=aex+1/aex+b (a>0) (1)求f(x)在[0,+∞]内最小值,
f(x)=aex+1/aex+b
f`(x)=ae^x-1/ae^x=0 e^x=1/a^2 x=-2lna
00 f(0)=1/a+a+b