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设函数y=y(x)由方程cos(x+y)+y=1确定,求dy/dx
人气:205 ℃ 时间:2019-08-17 19:45:48
解答
由隐函数微分法可得:-sin(x+y)(1+y′ )+y′ =0
-sin(x+y)+[1-sin(x+y)]y′ =0
∴y′ =sin(x+y)/[1-sin(x+y)].
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