求曲线e^xy+sin(x+y)=x+1在点(0.0)处切线方程
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求曲线e^xy+sin(x+y)=x+1在点(0.0)处切线方程
求曲线e^xy+sin(x+y)=x+1在点(0.0)处切线方程
求曲线e^xy+sin(x+y)=x+1在点(0.0)处切线方程
方程两边对x求导:(y+xy')e^(xy)+(1+y')cos(x+y)=1
将点(0,0)代入上式,得:(1+y')=1,得y'=0
所以在点(0,0)的切线为y=0
求曲线e^(xy)+sin(x+y)=x+1在点(0.0)处切线方程
求曲线e^xy+sin(x+y)=x+1在点(0.0)处切线方程
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