Matemáticas


Identidades y derivadas trigonométricas


IDENTIDADES TRIGONOMETRICAS

2 2

Sen A + Cos A = 1

 2 2

 Sec A = 1 Tan A

 2 2

 Sec A = 1 Cot A

 

Formulario de Derivadas

  • Dx (c) = 0

  • 2

  • Dx ( x )

  • Dx [ c * f ( x ) ] = c * Dx f ( x )

  • n n-1

  • Dx ( cx ) = cn X (N entero positivo)

  • Dx [ f ( x ) + g ( x ) ] = Dx f ( x ) + Dx g ( x )

  • Dx f1 ( x ) + f2 ( x ) + ... + fn ( x ) ] = Dx f1 ( x ) + Dx + 2 ( x ) + ... + Dx fn ( x )

  • Dx [ f ( x ) + g ( x ) ] = f ( x ) * Dx g ( x ) + g ( x ) Dx f ( x )

  • 8. Dx f ( x ) = g ( x ) * Dx f ( x ) - f ( x ) Dx g ( x )

    g ( x ) 2

     

    g ( x )

    r r -1

     

    9. Dx ( x ) rx r es un numero real

    r r -1

     

    Dx ( cx ) crx

    Derivadas de las funciones trigonométricas

     

    10. Dx ( Sen x ) = Cos x

    11. Dx ( Cos x ) = -Sen x

    2

     

    12. Dx ( Tan x ) = Sec x

    2

     

    13. Dx ( Cot x ) = Csc x

    14. Dx ( Sec x ) = Sec x Tan x

    15. Dx ( Csc x ) = Csc x Cot x

    Derivadas de funciones logarítmicas y exponenciales

     

    16. Dx ( Ln x ) = 1

    x

    17. Dx ( e ) = e

    18. Dx ( a ) = a ln a

     

    19. Dx ( log a x ) = log a e

     

     

    Dx ( log a x ) = 1

    x * ln a

     

    20. Dx ( Sen X) = 1

    1- x

    21. Dx ( Cos X) = 1

    1 + x

    22. Dx ( Tan X ) = 1

    1 + x

    23. Dx ( Cot X ) = 1

    1 + x

    24. Dx ( Sec X ) = 1

    X X -1

    25. Dx ( Csc X) = 1

    X X -1

    Derivadas de las funciones hiperbólicas

     

    26. Sen h X = e - e ; Dx ( Sen h X ) = Cos h ; Dx (Sen h U ) = Cos U * Dx

    2

    27. Cos h X = e + e ; Dx ( Cos h ) = Sen h X ; Dx ( Cos h U) =

    2

    28. Tanh X = Sen h x = e - e ; Dx ( Tan h X ) = Sec h X ; Dx ( Tan h U ) =

    Cos h X e + e

    29. Cot h X = Cos h X = e + e ; Dx ( Cot h X ) = - Csc X ; Dx ( Cot h U ) =

    Sen h X e - e

    30. Sec h X 1 = 2 ; Dx ( Sec h X ) = - Sec h X Tan h X ; Dx ( Sec h U ) =

    Cos h X e + e

     

    31. Csc h X 1 = 2 ; Dx ( Csc h X ) = - Csc h X Cot h X ; Dx ( Csc h U ) =

    Sen h X e + e

     




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    Enviado por:El remitente no desea revelar su nombre
    Idioma: castellano
    País: México

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