求下列函数导数y=cos(π/3-x)y=e^3xy=In(3-x)y=cos^3(1-2x)

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求下列函数导数y=cos(π/3-x)y=e^3xy=In(3-x)y=cos^3(1-2x)

求下列函数导数y=cos(π/3-x)y=e^3xy=In(3-x)y=cos^3(1-2x)
求下列函数导数
y=cos(π/3-x)
y=e^3x
y=In(3-x)
y=cos^3(1-2x)

求下列函数导数y=cos(π/3-x)y=e^3xy=In(3-x)y=cos^3(1-2x)
y=cos(π/3-x)
y'=-sin(π/3-x)*(-1)=sin(π/3-x)
y=e^3x
y'=e^(3x)*3=3e^(3x)
y=In(3-x)
y'=1/(3-x) *(-1)=1/(x-3)
y=cos^3(1-2x)
y'=3(cos^2(1-2x))*(-sin(1-2x))*(-2)
=6cos^2(1-2x)sin(1-2x)

y'=(π/3-x)'*(-sin(π/3-x))=sin(π/3-x)
y'=(3x)'*e^3x=3e^3x
y'=(3-x)'*1/(3-x)=-1/(3-x)
y'=(1-2x) '*3(-sin(1-2x))*cos^2(1-2x)
=6sin(1-2x)*cos^2(1-2x)