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