f(x,y,z)=In{[x^α+z^(1-α-β)]/y^β}+x/z+(z/x)^β,求 ∂f(x,y,
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f(x,y,z)=In{[x^α+z^(1-α-β)]/y^β}+x/z+(z/x)^β,求 ∂f(x,y,z)/∂y
![f(x,y,z)=In{[x^α+z^(1-α-β)]/y^β}+x/z+(z/x)^β,求 ∂f(x,y,](/uploads/image/z/20170429-61-9.jpg?t=f%28x%2Cy%2Cz%29%3DIn%7B%5Bx%5E%CE%B1%2Bz%5E%281-%CE%B1-%CE%B2%29%5D%2Fy%5E%CE%B2%7D%2Bx%2Fz%2B%28z%2Fx%29%5E%CE%B2%2C%E6%B1%82+%26%238706%3Bf%28x%2Cy%2C)
f(x,y,z)=In{[x^α+z^(1-α-β)]/y^β}+x/z+(z/x)^β,求 ∂f(x,y,z)/∂y
∂f(x,y,z)/∂y=1/{[x^α+z^(1-α-β)]/y^β}*[x^α+z^(1-α-β)](-β)y^(-β-1)
=(-β)y^(-β-1)*y^β
=-β/y
∂f(x,y,z)/∂y=1/{[x^α+z^(1-α-β)]/y^β}*[x^α+z^(1-α-β)](-β)y^(-β-1)
=(-β)y^(-β-1)*y^β
=-β/y
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