Derivadas

Page 1

Derivar las siguientes funciones: 5 x3

15 x4

1.

y=

2.

2 5 y= ( 5 x−3 x ) ( 4 x +7)

= dy=

y´=

( 5x−3 x 2 ) ( 5 )( 4x+ 7 )4 ( 4 ) + ( 4x+7 )5 ( 5−6x )

y´=

( 4x +7 )4 [ 20 ( 5x−3 x 2 )+(4x+7) ( 5−6x ) ]

y´=

( 4x +7 )4 [ 100 x 2−60 x 2+ 20x−24 x 2+ 35−42x ]

4 2 y´= ( 4x +7 ) [ 84 x +78x +35 ]

3.

y=

( x−2 ) (2 x −3)

y´= ( x−2 ) ( 2 ) +(2x−3)(1) y´= 2x−4+2x−3 y´= 4x -7

4.

y= 29x5

y´= 145x4

x3 ¿ ¿ ¿ = 3 2 ( ) ( ) − x 0 −(3x )(5) ¿

15 x 6 x

2

=


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