Отыскать производную функции: 1. y=x lnx - (x+1)^1/4 2. y=2x^2-x-1/3 корень2+4x

f(x) = (4 * (x 5)^(1 / 2)) = 4 * (x 5) *((x 5)^(1 / 2)) = 4 * ((x) (5)) *((x 5)^(1 / 2)) = 4 * (1 0) * (1 / 2) * (x 5)^(-1 / 2) = 2 / (x 5).

f(x) (1) = -2 3 * 1 = -2 3 = -5.

f(x) = ((x^2) / (x + 3)) = ((x^2) * (x + 3) (x^2) * (x + 3)) / (x + 3)^2 = ((x^2) * (x + 3) (x^2) * ((x) + (3))) / (x + 3)^2 = (2x * (x + 3) (x^2) * (1 + 0)) / (x + 3)^2 = (2x^2 + 6x x^2) / (x + 3)^2 = (x^2 + 6x) / (x + 3)^2.

f(x) = (3 * (2 x)^6) = 3 * (2 x) * ((2 x)^6) = 3 * ((2) (x)) * ((2 x)^6) = 3 * (0 1 * x^(1 1)) * 6 * (2 x)^(6 - 1) = 3 * (0 1) * 6 * (2 x)^5 = 3 * 6 * (2 x)^5 = 18(2 x)^5.