求下列函数的导数,
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y=(x+1)^(1/5)*(x-2)^(2/5)*(x+3)^(-1/5)*(x-4)^(-1/5)
y=[(x+1)*(x-2)^2]^(1/5)*(x^2-x-12)^(-1/5)
y'=(1/5)*[(x+1)*(x-2)^2]^(-4/5)*[(x-2)^2+(x+2)*2(x-2)]*(x^2-x-12)^(-1/5)+[(x+1)*(x-2)^2]^(1/5)*(-1/5)*(x^2-x-12)^(-6/5)*(2x-1)
y'=(1/5)*[(x+1)*(x-2)^2]^(-4/5)*(2x^2+4)*(x^2-x-12)^(-1/5)-(1/5)[(x+1)*(x-2)^2]^(1/5)*(x^2-x-12)^(-6/5)*(2x-1).
y=[(x+1)*(x-2)^2]^(1/5)*(x^2-x-12)^(-1/5)
y'=(1/5)*[(x+1)*(x-2)^2]^(-4/5)*[(x-2)^2+(x+2)*2(x-2)]*(x^2-x-12)^(-1/5)+[(x+1)*(x-2)^2]^(1/5)*(-1/5)*(x^2-x-12)^(-6/5)*(2x-1)
y'=(1/5)*[(x+1)*(x-2)^2]^(-4/5)*(2x^2+4)*(x^2-x-12)^(-1/5)-(1/5)[(x+1)*(x-2)^2]^(1/5)*(x^2-x-12)^(-6/5)*(2x-1).
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