求全微分z=e^[sin(x+y)]*y^x
题目
求全微分z=e^[sin(x+y)]*y^x
答案
dz=e^[sin(x+y)]*cos(x+y)*(dx+dy)*y^x+e^[sin(x+y)]*y^x[(lny)dx+(x/y)dy]
={e^[sin(x+y)]*cos(x+y)*y^x+e^[sin(x+y)]*y^x(lny)}dx+{e^[sin(x+y)]*cos(x+y)*y^x+e^[sin(x+y)]*y^x(x/y)}dy
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