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

2

n n-1

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