Calcula la derivada de las siguientes funciones usando la regla del cociente: $\left(\frac{f}{g}\right)' = \frac{f' \cdot g - f \cdot g'}{g^2}$
Ejercicio 1
\[f(x) = \frac{x}{e^x}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 2
\[f(x) = \frac{x}{\sin(x)}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 3
\[f(x) = \frac{x^2}{e^x}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 4
\[f(x) = \frac{\sin(x)}{\cos(x)}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
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