Отыскать производную: 1. f(x)=-1/3x+4x+2x 2.(x)=4/x+xx 3. g(x)=4ctgx, g39;(-2/3) 4.h(x)=3x+4/x-3, h39;(4)

f(x) = (2 * (5x + 4)^(-1)) = 2 * (5x + 4) * (5x + 4)^(-1) = 2 * ((5x) + (4)) * (5x + 4)^(-1) = 2 * (5 + 0) * (-1) * (5x + 4)^(-2) = -10 * (5x + 4)^(-2) = -10 / (5x + 4)^2.

f(x) = ((-4x^3 + 1)^4 - (2 - x)^5) = ((-4x^3 + 1)^4) ((2 - x)^5)) = ((-4x^3 + 1) * (-4x^3 + 1)^4) (2 - x) * ((2 - x)^5)) = ((-4x^3) + (1)) * (-4x^3 + 1)^4) ((2) (x)) * ((2 - x)^5)) = (-4 * 3 * x^2 + 0) * 4 * (-4x^3 + 1)^3 (0 1) * 5 * (2 x)^4 = -24x^2 * (-4x^3 + 1)^3 + 5 * (2 x)^4.

f(x) = (x^(3 /2) 2x^(-4)) = (x^(3 /2)) (2x^(-4)) = (3 / 2) * x^(1 / 2) 2 * (-4) * x^(-5) = (3 / 2x) + (8 / x^5).

f(x) = ((5x + 1)^(-3)) = (5x + 1) * ((5x + 1)^(-3)) = ((5x) + (1)) * ((5x + 1)^(-3)) = (5 + 0) * (-3) * (5x + 1)^(-4) = -15 * (5x + 1)^(-4) = -15 / (5x + 1)^4.