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根号下7X-X²-1的导数
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[根号(1-x²﹚]=(1-x^2)^1/2
[(1-x^2)^1/2]'=[(1-x^2)^1/2]'[1-x^2]'
=[1/2(1-x^2)^(1/2-1)][-2x]
=-x/[(1-x^2)^(1/2)]
咨询记录 · 回答于2022-06-07
根号下7X-X²-1的导数
[根号(1-x²﹚]=(1-x^2)^1/2[(1-x^2)^1/2]'=[(1-x^2)^1/2]'[1-x^2]'=[1/2(1-x^2)^(1/2-1)][-2x]=-x/[(1-x^2)^(1/2)]
这是一个复合函数要一层一层求导