TRABAJO-DE-CÀLCULO

• y= 2 senX

 [pic 1]

•  [pic 2]

      Ò   = [pic 3][pic 4]

• [pic 5]

[pic 6]

• [pic 7]

[pic 8]

• [pic 9]

[pic 10]

[pic 11]

6. - f (x) = x = s – 3 x [pic 12][pic 13]

 f’(x) =  (x) +  (s) -  (3x ) [pic 14][pic 15][pic 16][pic 17][pic 18]

f’(x) = 2x + 0 - (3) (-2) x[pic 19][pic 20]

 f (x) = 2x+ 6 x      o   f (x) = 2x+    [pic 21][pic 22]

7.- g (t) = t - [pic 23][pic 24]

g’(x) = 2+ 12t       o   g’(x) =2t t  [pic 25][pic 26][pic 27]

8. - f (x) x -3x  + 4 = x-3 + 4x  [pic 28][pic 29][pic 30]

f’(x) =   (x) (3) + (4x )[pic 31][pic 32][pic 33][pic 34]

f’(x)= 1-0-8x= 1-8x       o       f’(x) -1-  3[pic 35][pic 36][pic 37]

9.- y =x (x+1)[pic 38]

  =  (x) +     (x) = 3x+1[pic 39][pic 40][pic 41][pic 42][pic 43]

10.- f (x) - 6  = x- 6x[pic 44][pic 45][pic 46][pic 47]

f’(x) = (x) – 6 (x) = 1/2 x- (6) (1/5) x[pic 48][pic 49][pic 50][pic 51][pic 52][pic 53]

  [pic 54]

 [pic 55]

 5 -  5  = 4  -                 ó   (5)= -    [pic 56][pic 57][pic 58][pic 59][pic 60][pic 61][pic 62][pic 63][pic 64]

[pic 65][pic 66][pic 67][pic 68]

 = + 5 cos x [pic 69][pic 70]

(x) = 6  (x) + 5  cos x=[pic 71][pic 72][pic 73][pic 74]

=(6) () x -  + 5 (-sen x) =[pic 75][pic 76]

= – 5 sen x[pic 78][pic 79][pic 77]

Y= (+; U= +1 ; n=3   [pic 80][pic 81][pic 82]

= 3 (+1)  (+1) = 3(+ (2x) =[pic 83][pic 84][pic 85][pic 86][pic 87][pic 88][pic 89]

6x ([pic 91][pic 92][pic 90]

;  U 3x- ; n=3[pic 93][pic 94]

(x)= 3(3x- (3x- ( 3x-) =[pic 95][pic 96][pic 97][pic 98][pic 99][pic 100]

= 3(3x- ( 3-4x) = ( 9-12x) (3x-[pic 103][pic 104][pic 101][pic 102]

-;   U=-1; n[pic 105][pic 106][pic 107][pic 108]

(x)=(-1)  (-1) =[pic 109][pic 110][pic 111][pic 112][pic 113]

=   )(2x)= [pic 116][pic 117][pic 114][pic 115]

16._  g (t) = = -7 ; u = 2t-3 ;n = -2[pic 118][pic 119]

g´(t) =(-7)(-2)  (2t-3)= ) (2)= [pic 124][pic 120][pic 121][pic 122][pic 123]

[pic 125]

17._  y =   =  = [pic 126][pic 127][pic 128]

U =                 v=+9[pic 129][pic 130]

U´= 18x-6                                v´= +12x[pic 131]

Y´= [pic 132]

Y´= [pic 133]

Y´= [pic 135][pic 134]

                [pic 136]

18._ f(x)=   ; u = x    ; v = [pic 137][pic 138]

                                  U´= 1     v´= 1/3 (  = [pic 139][pic 140]

Y´= [pic 141]

Y´=  = [pic 142][pic 143]

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