Apostilas e Documentos que Ajudam na Compreensão de Mecânica Geral

3-

a) = 2xy.ex²y                                = x².ex²y[pic 1][pic 2]

b) = cos (y-x) + x.sen (y-x)                = -x.sen(y-x)[pic 3][pic 4]

c) = y² + y + 2xy                        = 2xy + x + x²[pic 5][pic 6]

d) =                         = [pic 7][pic 8][pic 9][pic 10]

e) =                                 = [pic 11][pic 12][pic 13][pic 14]

f) = 2x.ex²+y²-4                        = 2y.ex²+y²-4[pic 15][pic 16]

g) =  – 5                                = [pic 17][pic 18][pic 19][pic 20]

h)= 4x³y – 6xy³.cos(x²y³) – zy³.exy³    = -9x²y².cos(x²y³) – 3xy²z.exy³    = x4 - exy³[pic 21][pic 22][pic 23]

i) =                         = [pic 24][pic 25][pic 26][pic 27]

j) = 2xy² - y                                = 2x²y – x[pic 28][pic 29]

k) = 2x.ex².(1 + x² + y²)                = 2y.ex²[pic 30][pic 31]

l) = 2y + 2y.sen(xy).cos(xy)                = 2x + 2x.sen(xy).cos(xy)[pic 32][pic 33]

m) = 3                                = -8y³[pic 34][pic 35]

n) = e3y                                = 3x.e3y[pic 36][pic 37]

o) = y²z³                        = 2xyz³ + 3z                = 3xy²z² + 3y[pic 38][pic 39][pic 40]

p) =                         =                         = [pic 41][pic 42][pic 43][pic 44][pic 45][pic 46]

q) = 2 +                          =  [pic 47][pic 48][pic 49][pic 50][pic 51]

4-

a) = 12x² - 6y³                         = -18x²y[pic 52][pic 53]

   = -18xy²                                = -18xy²[pic 54][pic 55]

b) =                                 =         [pic 56][pic 57][pic 58][pic 59]

   =                                 =         [pic 60][pic 61][pic 62][pic 63]

c) = 2y³ + 12x²y                         = 6x²y[pic 64][pic 65]

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