Derivadas: Multiplicación - Soluciones
Solución 1
\[f(x) = x \cdot e^x\]
\[f'(x) = \boxed{e^x + xe^x}\]
\[f'(x) = \boxed{e^x + xe^x}\]
Solución 2
\[f(x) = 2x \cdot e^x\]
\[f'(x) = \boxed{2e^x + 2xe^x}\]
\[f'(x) = \boxed{2e^x + 2xe^x}\]
Solución 3
\[f(x) = x^2 \cdot e^x\]
\[f'(x) = \boxed{2xe^x + x^2e^x}\]
\[f'(x) = \boxed{2xe^x + x^2e^x}\]
Solución 4
\[f(x) = e^x \cdot \sin(x)\]
\[f'(x) = \boxed{e^x\sin(x) + e^x\cos(x)}\]
\[f'(x) = \boxed{e^x\sin(x) + e^x\cos(x)}\]