Calcula la derivada de las siguientes funciones.
Ejercicio 1
\[f(x) = 4\ln(x) + 5e^x\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 2
\[f(x) = e^4 + \cos(x)\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 3
\[f(x) = 6e^x - 4\cos(x)\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
Ejercicio 4
\[f(x) = 4x^2 + 3^x + 2\ln(x)\]
\[f'(x) = \mathbf{?}\]
\[f'(x) = \mathbf{?}\]
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