Calcula la derivada de las siguientes funciones usando la regla de la cadena.
Ejercicio 1
\[f(x) = \sin(2x)\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 2
\[f(x) = e^{\sin(2)}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 3
\[f(x) = e^{x^2}\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 4
\[f(x) = \ln(\cos(2x))\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
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