Examen Derivadas 2007

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EXÁMEN DE MATEMÁTICAS I Abril 2007

GRUPO 1 A

TEORÍA 1- Definición de derivada de una función en un punto, interpretación geométrica. Calcula utilizando esta definición la derivada en xo=4 de la función f(x) = recta tangente a la gráfica de la función en el punto de abscisa x=4. 2º Derivar:

a) y =tag

x ;

b)

e− x y= sen 2 x e x +x y= cos 2 x 2

c)

y = x 2 sen x Ln x

e)

y = arctg

(

3

;

arcsen 2

d)

x

)

;

f)

y=

tg x Ln 2 x 2

(x

2

+x

)

3

1 . Halla la ecuación de la x

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