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derivadas > DERIVADAS FORMULAS > Flashcards

DERIVADAS FORMULAS Flashcards

1
Q

Suma

y = U + v

A

y’ = u’ + v’

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2
Q

y = u - v

A

y’ = u’ - v’

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3
Q

y = u v

A

y’ = u’ v + v’ u

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4
Q

y = u/ v

A

y = (u’ v - v’ u )/ v^2

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5
Q

y’ = u’ + v’

A

y = u + v

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6
Q

y ‘ = u’ - v’

A

y = u - v

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7
Q

y’ = U’ v + v’ u

A

y = u v

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8
Q

y’ = (u’ v - v’ u )/ v^2

A

y = u/v

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9
Q

y = k

A

y’ = 0

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10
Q

y = x

A

y’ = 1

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11
Q

y’ = 0

A

y = k

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12
Q

y’ = 1

A

y = x

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13
Q

y = k x

A

y’ = k

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14
Q

y = 1/x

A

y’ = -1 / x^2

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15
Q

y = x^2

A

y’ = 2x

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16
Q

y = x^n

A

y’ = n x^n-1

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17
Q

y = e^x

A

y’ = e^x

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18
Q

y = a^x

A

y’ = a^x ln a

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19
Q

y = lnx

A

y’ = 1/x

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20
Q

y = log a X

A

y’ = 1/xlna

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21
Q

y= raíz cuadrada de x

A

y’ = 1/(2 raíz cuadrada de x )

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22
Q

y = sen x

A

y’ = cos x

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23
Q

y = cosx

A

y’ = - sen x

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24
Q

y = tan x

A

y’

= sec^2 x

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25
Q

y = cot x

A

y’

= - csc^2 x

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26
Q

y = csc (x)

A

y’ = - csc x * cot x

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27
Q

y = sec x

A

y’ = sec x * tan x

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28
Q

y = U

A

y’ = u’

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29
Q

y = K u

A

y’ = K U’

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30
Q

y = 1/U

A

y’ = -u’ / ( u^2)

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31
Q

y = u^2

A

y’ = 2 u u’

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32
Q

y = u^ n

A

y’ = n u ^ ( n-1) por u’

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33
Q

y = a^u

A

y’ = u’ a^u ln a

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34
Q

y = ln u

A

y’ = u’ / u

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35
Q

y = log a U

A

y’ = u’ / (u ln a )

36
Q

y = raíz cuadrada de U

A

y’ = u’ / (2 por raíz cuadrada de U )

37
Q

y = sen u

A

y’ = u’ cos u

38
Q

y = cos u

A

y’ = - u’ sen u

39
Q

y = tan u

A

y’
= (1 + tan^2 u ) u’
= u’ / cos^ 2 u
= u’ sec^2 u

40
Q

y = cot u

A

y ‘ = -U’ / ( sen^2 u )

= - u’ cosec^2 u

41
Q

y = arcsen u

A

y’ = u’ / raíz cuadrada de (1- u^2)

42
Q

y = cos^-1 (u)

A

y’ = -u’ / raíz cuadrada de ( 1 - u^2)

43
Q

y = arctan u

A

y’ = u’ / 1 + u^2

44
Q

Derivación logarítmica caso 1

A

y = u^v

45
Q

Derivación logarítmica caso 2

A

ln y = ln (u^v)

46
Q

Derivación Logaritmo caso 3

A

ln y = v ln u

47
Q

Derivación logarítmica caso 4

A

y’ / y = v’ ln u + v (u’ / u)

48
Q

Derivación logarítmica caso 5

A

y’ = y ( v’ ln u + v (u’ / u )

49
Q

Derivación logarítmica caso 6

A

y’ = u^v ( v’ ln u + v u’ / u )

50
Q

y’ = u’ / (1 + u^2)

A

y = arcatan u

51
Q

y’ = -u’ / ( raíz cuadrada de ( 1 - u^2)

A

y = arccosu

52
Q

y’ =

= - u’ csc^2 u

A

y = cot u

53
Q

y’ = ( 1 + tan^2 u ) u’
= u’ / cos^2 u
= u’ sec ^2 u

A

y = tan u

54
Q

y’ = - u’ sen u

A

y = cos u

55
Q

y’ = u’ cos u

A

y = sen u

56
Q

y’ = u’ / (2 raíz cuadrada de u)

A

y = raíz cuadrada de u

57
Q

y’ = u’ / u ln a

A

y = log a U

58
Q

y’ = u’ / u

A

y = ln u

59
Q

y = a^u

A

y’ =( u’ ) (a^u) (lna)

60
Q

y’ = u’ e^u

A

y = e^u

61
Q

y’ = n u(n-1) u’

A

y = u ^ n

62
Q

y’ = 2 u u’

A

y = u^2

63
Q

y’ = -u / u^2

A

y = 1 / u

64
Q

y’ = k u’

A

y = k u

65
Q

y’ = u’

A

y = u

66
Q

y’ = 1/ ( 1+ x^2

A

y = arctan x

67
Q

y’ = -1 / ( raíz cuadrada ( 1 - x^2)

A

y = cos^-1

68
Q

y’ = 1 / ( raíz cuadrada de ( 1- x^2)

A

y = arcsen x

69
Q

y’ =

= - cosec^2 x

A

y = cot x

70
Q

y’ =
1 + tan ^ 2 x
= 1/ cos^2 x
= sec ^ 2 x

A

y = tan x

71
Q

y’ = - sen x

A

y = cos x

72
Q

y’ = cos x

A

y = sen x

73
Q

y’ = 1/ (2 raíz cuadrada de x)

A

y = raíz cuadrada de x

74
Q

y’ = 1 / ( x ln a)

A

y = log a X

75
Q

y’ = 1/ x

A

y = ln x

76
Q

y’ = a^x (ln a)

A

y = a^x

77
Q

y’ = e^x

A

y = e^x

78
Q

y’ = n x^(n-1)

A

y = x^n

79
Q

y’ = 2x

A

y = x^2

80
Q

y’ = -1 / x^2

A

y = 1/ x

81
Q

y’ = k

A

y = k x

82
Q

y’ = 1

A

y = x

83
Q

y’ = 0

A

y = k

84
Q

Sen^-1

A

1/ raiz ( 1- x^2)

85
Q

Cos^-1 =

A

y’ = -1 / raiz ( 1- x^2)

86
Q

Tan^-1 =

A

1/ 1+ x^2

derivadas (2 decks)

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