Solución 1
\[f(x) = \sin(2x)\]
\[f'(x) = \boxed{2\cos(2x)}\]
Solución 2
\[f(x) = e^{\sin(2)}\]
\[f'(x) = \boxed{0}\]
Solución 3
\[f(x) = e^{x^2}\]
\[f'(x) = \boxed{2xe^{x^2}}\]
Solución 4
\[f(x) = \ln(\cos(2x))\]
\[f'(x) = \boxed{\frac{-2\sin(2x)}{\cos(2x)}}\]
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