Производная функции y=ex^2*cosx имеет вид:
1)y'=e^x*cosx-e^x*sinx
2)y'=e^x-sinx
3)y'=e^x*sinx-e^x*cosx
4)y'=e^x*sinx
1)y'=e^x*cosx-e^x*sinx
2)y'=e^x-sinx
3)y'=e^x*sinx-e^x*cosx
4)y'=e^x*sinx
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Y`=(e^(x²)*cosx)`=e^(x²)*2x*cosx+e^(x²)*(-sinx)=e^(x²)*(2x*cosx-sinx).y=eˇx .cosx, u=eˇx, v=cosx, u´=eˇx, v´= -sinx
y´=e´x.cosx - eˇx.sinx
y=eˇ(x²).cosx, u=eˇ(x²), v=cosx, u´=2xeˇ(x²), v´=-sinx
y´=2xeˇ(x²).cosx -eˇ(x²).sinx=eˇ(x²) (2xcosx-sinx)