求函数导数
1个回答
2017-10-21
展开全部
①y=x(x平方+x分之1+x的三次方分之1)
y=x(x^2+1/x+1/x^3)
y=x^3+1+1/x^2
y=x^3+1+x^(-2)
y'=3x^2+0+(-2)x^(-2-1)
y'=3x^2-2/x^3
②y=(根号x加1)(根号x分之1减1) x>0
y=(根号x+1)(1/根号x-1)
y=1-根号x+1/根号x-1
y=-x^(1/2)+x^(-1/2)
y'=-1/2x^(1/2-1) + (-1/2)x^(-1/2-1)
y'=-1/2[x^(-1/2)+x^(-3/2)]
y'=-1/2x^(-1/2)[1+1/x]
y'=-1/2(根号x) * (1/x+1/x^2)
y=x(x^2+1/x+1/x^3)
y=x^3+1+1/x^2
y=x^3+1+x^(-2)
y'=3x^2+0+(-2)x^(-2-1)
y'=3x^2-2/x^3
②y=(根号x加1)(根号x分之1减1) x>0
y=(根号x+1)(1/根号x-1)
y=1-根号x+1/根号x-1
y=-x^(1/2)+x^(-1/2)
y'=-1/2x^(1/2-1) + (-1/2)x^(-1/2-1)
y'=-1/2[x^(-1/2)+x^(-3/2)]
y'=-1/2x^(-1/2)[1+1/x]
y'=-1/2(根号x) * (1/x+1/x^2)
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