Вычислить: y`(0)=sin^2 ln e^x .

[tex]y=sin^2ln(e^{x})=(sin(lne^{x}))^2=(sin(xlne))^2=(sinx)^2\\\\lne=1\\\\y'=2sinx\cdot cosx=sin2x\\\\y'(0)=sin(2\cdot 0)=sin0=0[/tex]