Derivadas

TRABAJO ACERCA DE LOS EJERCICIOS HECHOS EN CLASE
1.- f(x) = 10 2.-f (x)=6 -5 +9x-4 = 20x+9 +x+9 = 18 -10x+1

3.- f (s)=15-s+4 - 5 4.-f(t)= 12-3 +4 = 12 5.-g(x) = ( ( ( -7)(2 -7)(4x) =( 6.-f(x) ( (+3) =( + -7)(2 (2

-1+8s-20 24 +3) +3) ( +3)( =( -28x) (6x-5) ( -4x+1) -7)

-4x+1) (6x-5) -4x+1) (6)

(6x-5) (4x-4) (24 -20)

(12x-24) 36

-68x+26

7.-h(r) = (3 -7r+2)=12 -7=12 -78.-g(s)=( -5s+9)(25+1) -5s+9) (2s+1) (25+1) (3 -5)

(2s+1) ( -5s-9) d ( ( -5s+9)(2) d

8 +3 -20s+13 9.= 12x+8+12x+15 10.-h(x) =16x-6+8x-6

11.-

12.-f(w)= 13.-f(x)=3 14.-g(z)=5 15.=9 -16z+116.-f(x)= ( 17.-f(x) = (4 +2 18.-f(x) = (8x-7 19.-k(x)= (5 -2x+1 -3(5 2(4

3(

. (2x-3) . (12 . (8x) = .(10x-2) =

-5(8x-7

20.-f(x) = =x-4 ( =-4x( +( -1 (( -1

x( =-4x ( )+1) -1

d ( +(21.-g (x) = =-4(2x+3 + -4( -3 =

d (2x+3

22.-g(x) =

=

23.- f(x) x = x

= x +4x =x x

24.-

25.-

26. f ´(z)= 10 = 10 d d 10

=10 * =10* z =15 Z = -(3 +z

=-3

/z

=

/

== 15

=-

27.f(w)= (

)

=

(2w-4) – ( = (2 = (2 =( +2 -(

)( )(

)

28. f (x)= 4

29.-f(t)=

30.-

31.-Tan(8 x+3)f´(x)=se =8se

32.- f(x)=

33.f (x) f´(x)=(1+cosx)(senx)-senx (1+cosx)/(1+cosx =(1+cosx)(cosx)-senx(0-senx)/(1+cos =(cosx+co x/(1+cosx

Cosx (1+cosx)+se =cos x+[co =

34.-f (x)= sec x cot x f (x) =secx secx(- cs =secx (-1-co x )

35.-f (x)= secx tanx f´(x) = sec = sec x se =sex (se = sec (2 se )

36.-f(x) = sen x cot x f´(x)= f´(x) = cscx = -cscx –cot x =-

37.-f´ (x) = cos (5 f´ (x) = -sen (5 = -sen (5 =-15 38.-f´(X) = ta f´(X)= 3(tan 4 x3 ta = 3 ta =12 ta tan 4x ) (15

39.-4 cos x= (-4sen x)+cos x

40.-Sen(

f´(x)= cos ( = 2x cos (

41.f´(x) =5 (cos 3x =5(cos 3x = -15(cos 3x ( sen 3x) =- 15 co cos = ==x sen

43.-tan (8x+3)f´(X) =se =8 se

43.-f´(v)= =

=0-5

44.-cs

x= f´(x)= ( csc 2 x csc 2x 2x

f´(x) = 2 csc 2 x *

= 2 csc 2x * ( -csc 2x cot 2x) =-4 cs 2x cot 2x

cos = ==x sen

46.-K´(x) = (2 = (2...