Question

найти производную y=x-1 делить на x+2 и все это в 4-ой степени

Answer 1

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

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

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

   =12(x-1)^3/(x+2)^5

  

Answer 2

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

y'=4[(x-1)/(x+2)]^3*[(x+2-x+1)/((x+2)^2]=4[(x-1)/(x+2)]^3*(3/((x+2)^2)=(12(x-1)^3)/((x+2)^5)