((3x^4-2x^3-5x)*корень(3+2x))' = ((3x^4-2x^3-5x)*(3+2x)^1/2)' = (3x^4-2x^3-5x)' *(3+2x)^1/2 +
+(3x^4-2x^3-5x)*((3+2x)^1/2)' = (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)*(1/2)*(3+2x)^(-1/2)*2 =
= (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)*(3+2x)^(-1/2) =
= (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)/((3+2x)^(1/2))
((3x^4-2x^3-5x)*корень(3+2x))' = ((3x^4-2x^3-5x)*(3+2x)^1/2)' = (3x^4-2x^3-5x)' *(3+2x)^1/2 +
+(3x^4-2x^3-5x)*((3+2x)^1/2)' = (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)*(1/2)*(3+2x)^(-1/2)*2 =
= (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)*(3+2x)^(-1/2) =
= (12x^3-6x^2-5)*(3+2x)^1/2 +(3x^4-2x^3-5x)/((3+2x)^(1/2))