Найдите производную функции f(x)=√3x+2+x^4 f(x)=(-x²+2x)³+(x+3)^4 f(x)=√7+14x-5x^6 f(x)=(-4x³+1)^4-(2-x)^5

[latex]1) f(x) = \sqrt{3x + 2} + x^4 \\ f'(x) = \frac{3}{2\sqrt{3x+2}} + 4x^3 \\ 2) f(x) = (-x^2 + 2x)^3 + (x+3)^4 = -(x^2-2x)^3 + (x+3)^4 \\ f'(x) = -(2x-2)*3*(x^2-2x)^2 + 4(x+3)^3 =-6(x-1)(x^2-2x)^2 + 4(x+3)^3 \\ 3)f(x) = \sqrt{7 + 14x} - 5x^6 \\ f'(x) = \frac{14}{2\sqrt{14x + 7}} - 30x^5 = \frac{7}{\sqrt{14x + 7}} - 30x^5 \\ 4)f(x) = (-4x^3 + 1)^4 - (2-x)^5 \\ f'(x) = -12x^2*4*(-4x^3 + 1)^3 + 5(2-x)^4 = 48x^2(4x^3-1)^3 + 5(2-x)^4 \\ c:[/latex]