高数 求偏导数
求偏z/偏x
z=yln(x+√(x²+y²))+3x-2y
要详细过程谢谢了x²是x的平方
人气:125 ℃ 时间:2019-12-08 19:52:30
解答
z = yln[x+√(x²+y²)]+3x-2y
∂z/∂x = {y/[x+√(x²+y²)]}{1 + x/√(x²+y²)} + 3
= y[√(x²+y²)+x]/[x+√(x²+y²)][√(x²+y²)] + 3
= y/[√(x²+y²)] + 3
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