Resumen - Soluciones
Solución 1
\[f(x) = \cos(2)\]
\[f'(x) = \boxed{0}\]
\[f'(x) = \boxed{0}\]
Solución 2
\[f(x) = \sin(3) + 2x\]
\[f'(x) = \boxed{2}\]
\[f'(x) = \boxed{2}\]
Solución 3
\[f(x) = x^3 + 2e^x + 5\cos(x)\]
\[f'(x) = \boxed{3x^2 + 2e^x - 5\sin(x)}\]
\[f'(x) = \boxed{3x^2 + 2e^x - 5\sin(x)}\]
Solución 4
\[f(x) = \frac{x}{e^x}\]
\[f'(x) = \boxed{\frac{1-x}{e^x}}\]
\[f'(x) = \boxed{\frac{1-x}{e^x}}\]
Solución 5
\[f(x) = \frac{x}{\sin(x)}\]
\[f'(x) = \boxed{\frac{\sin(x) - x\cos(x)}{\sin^2(x)}}\]
\[f'(x) = \boxed{\frac{\sin(x) - x\cos(x)}{\sin^2(x)}}\]
Solución 6
\[f(x) = e^{\sin(2)}\]
\[f'(x) = \boxed{0}\]
\[f'(x) = \boxed{0}\]