作业帮已知函数f(x)=(log1/2x）²-log1/4+5,x∈[2,4],求f(x)的最小值与最大值.
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![已知函数f(x)=(log1/2x）²-log1/4+5,x∈[2,4],求f(x)的最小值与最大值.](/uploads/image/z/2484836-44-6.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%28log1%2F2x%EF%BC%89%26%23178%3B-log1%2F4%2B5%2Cx%E2%88%88%5B2%2C4%5D%2C%E6%B1%82f%28x%29%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%8E%E6%9C%80%E5%A4%A7%E5%80%BC.)
已知函数f(x)=(log1/2x）²-log1/4+5,x∈[2,4],求f(x)的最小值与最大值.
已知函数f(x)=(log1/2x）²-log1/4+5,x∈[2,4],求f(x)的最小值与最大值.
已知函数f(x)=(log1/2x）²-log1/4+5,x∈[2,4],求f(x)的最小值与最大值.
log1/2x=- log2x,log1/4 x=-1/2* log2x
f(x)=(log1/2x)^2-log1/4x+5
=(log2x)^2+1/2*log2x+5
设log2x=t
y=t^2+1/2t+5=(t+1/4)^2+79/16,1