Derivadas de funciones trigonométricas

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Introducción
Lecciones
  1. ddx  \frac{{d}}{{{d}x}}\;sen(        )=cos(        )ddx(        ) \, \left( {\;\;\;\;} \right) = \cos \left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
    ddx  cos(        )=\frac{{d}}{{{d}x}}\;\cos \left( {\;\;\;\;} \right) = - sen(        )ddx(        ) \, \left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
    ddx  tan(        )=sec2(        )ddx(        )\frac{{d}}{{{d}x}}\;\tan \left( {\;\;\;\;} \right) = {\sec ^2}\left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
    ddx  cot(        )=csc2(        )ddx(        )\frac{{d}}{{{d}x}}{\;cot}\left( {\;\;\;\;} \right) = - {\csc ^2}\left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
    ddx  sec(        )=sec(        )tan(        )ddx(        )\frac{{d}}{{{d}x}}\;\sec \left( {\;\;\;\;} \right) = \sec \left( {\;\;\;\;} \right)\tan \left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
    ddx  csc(        )=csc(        )cot(        )ddx(        )\frac{{d}}{{{d}x}}\;\csc \left( {\;\;\;\;} \right) = - \csc \left( {\;\;\;\;} \right)\cot \left( {\;\;\;\;} \right) \cdot \frac{{d}}{{{d}x}}\left( {\;\;\;\;} \right)
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Ejemplos
Lecciones
  1. Deriva:
    1. y=y = sen 4x^{4} x
    2. y=y = sen (x4) ( {{x^4}})