F(x,y,z)=In(x^α+y^β)+z^(1-α-β),求∂f(x,y,z)/∂y

Question

F(x,y,z)=In(x^α+y^β)+z^(1-α-β),求 ∂f(x,y,z)/∂y

Answer 1

把x、z看做常数  对y求导

∂f(x,y,z)/∂y=[1/(x^α+y^β)]*β*y^(β-1)