Ответы и объяснения

  • fuflunce
  • почетный грамотей
2012-12-08T03:16:44+04:00

1) (u*v)' = u'v + v'u

f' = (1 +x^2)'[3 - 1/(x^3)] +  (1 +x^2)[3 - 1/(x^3)]' = 

= 2x*[3 - 1/(x^3)] +  (1 +x^2)*3x^(-4) = 

= 6x - 2/(x^2) + 3/x^(4) + 3/(x^2) = 

= 3/x^(4) + 1/(x^2) +6x

 

2) (a^u)' = a^u*lna*u'

f' = 3^[2*(x^2)]*ln3 * (2*x^2)' = 3^[2*(x^2)]*ln3*4x