4.二元隐函数z=z(x,y)由方程sec z+yz^2=1-x^3y确定,求全微分dz
人气:295 ℃ 时间:2020-03-23 01:24:21
解答
sec z+yz^2=1-x^3y对x求导:secztanz*z'x+2yzz'x=-3x^2y z'x=-3x^2y/(secztanz+2yz) 对y求导:secztanz*z'y+z^2+2yzz'y=-x^3 z'y= (-x^3-z^2)/(secztanz+2yz) dz=[-3x^2y/(secztanz+2yz) ]dx+[(-x^3-z^2)/(secztanz+...secztanz*z'x没太看懂是不是secztanz(∂z/∂x)这个啊?z'x就是∂z/∂x
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