Задание

\[\text{Найти}\ \ f'(x),\ \ \text{если}\ \ \ f(x) = {e^x}\cdot {cosx}.\]

  • \[f'(x) = e^x(cosx-sinx)\]

  • \[f'(x) = e^x(cosx+sinx)\]

  • \[f'(x) = e^x(sinx-cosx)\]

  • \[f'(x) = -e^x\cdot sinx\]