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

Задание

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

\[f'(x) = e^x(sinx+cosx)\]
\[f'(x) = e^x(sinx-cosx)\]
\[f'(x) = e^x(cosx-sinx)\]
\[f'(x) = e^x\cdot cosx\]
\[f'(x) = -e^x\cdot cosx\]