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Derivación por regla de la cadenaEjercicio #1          3              3y = sen x = (Senx)Haciendou = Senx =>           = c...
Ejercicio # 2                5F (x) = Cos xHaciendo        5W = X =>            = 5x4EntoncesF (w) = Cosw =>             =...
Ejercicio # 3          7   4Y = tg xHaciendo      4                    3r = x =>          = 4x                            ...
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Derivación por regla de la cadena

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Derivación por regla de la cadena

  1. 1. Derivación por regla de la cadenaEjercicio #1 3 3y = sen x = (Senx)Haciendou = Senx => = cosxEntonces 3 2Y=u => = 3uAhora 2 = = 3u CosxHaciendo el remplazo de uObtenemos que: 2 = 3 sen x cosx
  2. 2. Ejercicio # 2 5F (x) = Cos xHaciendo 5W = X => = 5x4EntoncesF (w) = Cosw => = —senwAhora 4 = = —Senw 5xHaciendo el remplazo y organizandoObtenemos que: 4 5 = —5x Sen x
  3. 3. Ejercicio # 3 7 4Y = tg xHaciendo 4 3r = x => = 4x 2Z = tgr => = Sec rEntonces 7 6Y = z => = 7zAhora 6 2 3 = = 7z Sec r 4xHaciendo el remplazo y organizandoObtenemos que: 6 2 4 3 = 7 (tgr) Sec (x ) 4x 3 6 4 2 4 = 28x tg x Sec x

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