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
Identidades y derivadas trigonométricas
Identidades y derivadas trigonométricas
Identidades y derivadas trigonométricas
