y= (x+1)^(x+3)求导数

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y=(x+1)^(x+3)求导数y=(x+1)^(x+3)求导数y=(x+1)^(x+3)求导数y=(x+1)^(x+3)=e^[ln(x+1)^(x+3)]=e^[(x+3)ln(x+1)]dy/d

y= (x+1)^(x+3)求导数
y= (x+1)^(x+3)求导数

y= (x+1)^(x+3)求导数
y =(x+1)^(x+3) = e^[ln(x+1)^(x+3)] = e^[(x+3)ln(x+1)]
dy/dx = {e^[(x+3)ln(x+1)]}×[ln(x+1)+(x+3)/(x+1)]
= [(x+1)^(x+3)]×[ln(x+1)+(x+3)/(x+1)]

y'=(x+1)^(x+3)*ln(x+1)*(x+1)'=(x+1)^(x+3)*ln(x+1)