求微分:①y=㏑(1-x)②y=(1+x+x)③y=cos(x)步凑要详细哦!
问题描述:
求微分:①y=㏑(1-x)②y=(1+x+x)③y=cos(x)步凑要详细哦!
第二题错了,应该是y=(1+x+x平方)三次方。第一题也差个平方y=㏑(1-x平方)。第三题也有问题:y=cos(x平方)!不好意思
答
1,令u=1-x^2,所以d(y)=[1/(1-x^2)]*(1-x^2)'d(x)=-2x[1/(1-x)]d(x);2,d(y)=[(1+x+x^2)^3]'d(x)=3(1+x+x^2)^2(1+x+x^2)'d(x)=3(2x+1)(1+x+x^2)^2d(x);3,d(y)=[cos(x^2)]'d(x)=-sinx^2*(x^2)'d(x)=-2xsinx^2d(...