Reglas de Derivacion
3
REPÚBLICA BOLIVARIANA DE VENEZUELA MINISTERIO DEL PODER POPULAR PARA LA DEFENSA UNIVERSIDAD NACIONAL EXPERIMENTAL POLITÉCNICA DE LA FUERZA ARMADA BOLIVARIANA NÚCLEO TÁCHIRA DEPARTAENTO DE CIENCIAS SOCIALES REGLAS DE DERIVACIÓN FUNCIONES ALGEBRAICAS FUNCIONES TRASCENDENTES Función Derivada Función Derivada K Y = 0 = ′ Y LnX Y = x Y 1 = ′ X Y = 1 = ′ Y LnU Y = U U Y ′ = ′ KX Y = K Y = ′ X Y a lg = X x Y a * lg * 1 = ′ KU Y = U K Y ′ = ′ U Y a lg = U e U Y a ′ = ′ * lg * 1 K X Y = K Y 1 = ′ U K Y = U LnK K Y U ′ = * * K U Y = K U Y ′ = ′ X K Y = LnK K Y X * = n X Y = 1 − = ′ n nX Y X e Y = X e Y = ′ n U Y = U nU Y n ′ = ′ − * 1 U e Y = U e Y U ′ = ′ * 1 − = n KX Y 1 * * − = ′ n X n K Y V U Y = V LnU U U VU Y V V ′ + ′ = ′ − 1 n KU Y = U nU K Y n ′ = ′ − * * 1 Funciones Trigonométricas K X Y n = K nX Y n 1 − = ′ Función Derivada SenX Y = CosX Y = ′ K U Y n = K U nU Y n ′ = ′ − * 1 SenU Y = U CosU Y ′ = ′ * CosX Y = SenX Y − = ′ n X Y = nX X Y n = ′ CosU Y = U SenU Y ′ − = ′ * TgX Y = X Sec Y 2 = ′ n U Y = nU U U Y n ′ = ′ * TgU Y = U U Sec Y ′ = ′ * 2 CtgX Y = X Csc Y 2 − = ′ W V U Y − + = W V U Y ′ − ′ + ′ = ′ CtgU Y = U U Csc Y ′ − = ′ * 2 V U Y * = U V V U Y * * ′ + ′ = ′ SecX Y = TgX SecX Y * = ′ V U Y = 2 * * V U V V U Y ′ − ′ = ′ SecU Y = U TgU SecU Y ′ = ′ * * CscX Y = CtgX CscX Y * − = ′ U K Y = 2 * U U K Y ′ − = ′ CscU Y = U CtgU CscU Y ′ − = ′ * * Identidades Trigonométricas Elaborada por: Prof. Ing. Leonardo o!ero
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Formulas de Derivación
Transcript of Reglas de Derivacion
REPBLICA BOLIVARIANA DE VENEZUELA
REPBLICA BOLIVARIANA DE VENEZUELA
MINISTERIO DEL PODER POPULAR PARA LA DEFENSA
UNIVERSIDAD NACIONAL EXPERIMENTAL POLITCNICA
DE LA FUERZA ARMADA BOLIVARIANA
NCLEO TCHIRA
DEPARTAENTO DE CIENCIAS SOCIALES
REGLAS DE DERIVACIN
Funciones algebraicasfunciones trascendentes
FuncinDerivadaFuncinDerivada
Funciones Trigonomtricas
FuncinDerivada
Identidades Trigonomtricas
EMBED Equation.3
(Continuacin)
Funciones tRIGONOMTRICAS INVERSAS
FuncinDerivada
Elaborada por: Prof. Ing. Leonardo Romero
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