16、求下列函数的导数;(1)y=(1/3)^x+log3×x;(2)y=(1-根号x)(1+1/根号x);(3)y=cos2x...16、求下列函数的导数;(1)y=(1/3)^x+log3×x;(2)y=(1-根号x)(1+1/根号x);(3)y=cos2x/sinx+cosx

问题描述:

16、求下列函数的导数;(1)y=(1/3)^x+log3×x;(2)y=(1-根号x)(1+1/根号x);(3)y=cos2x...
16、求下列函数的导数;(1)y=(1/3)^x+log3×x;(2)y=(1-根号x)(1+1/根号x);(3)y=cos2x/sinx+cosx

3554354

log3×x 不对啊,3应该再下面吧 .或者是lg3x

1y=(1/3)^x+ln(3x)y'=ln(1/3) *(1/3)^x +3*(1/3x)2y=(1-√x)(1+1/√x)=(1-x)/√x=1/√x-√x √x=x^(1/2)y'=(-1/2)*(1/√x^3)-(1/2)(1/√x)3y=cos2x/(sinx+cosx)=cosx-sinxy'=-sinx-cosx