Найти производную. 1,2,3,4,5

1) [latex]y'=(2x+2)(x-2)+(x^2+2x+4)[/latex] [latex]y'= \frac{2x(x^2-1)-2x^3}{(x^2-1)^2} = \frac{2x^3-2x-2x^3}{(x^2-1)^2} =- \frac{2x}{(x^2-1)^2} [/latex] [latex]y'=-10x^4+32x^3-3x^2[/latex] 2) [latex]y'=1+ \frac{4}{x^2} [/latex] [latex]y'(0)[/latex] не существует [latex]y'=cosx+3[/latex] [latex]y'(0)=4[/latex] 3) [latex]v(t)=s'(t)=12x^3+2x[/latex] [latex]v(1)=12+2=14[/latex] [latex]a(t)=v'(t)=s''(t)=36x^2+2[/latex] [latex]a(1)=36+2=8[/latex] 4) [latex]f'(x_0)=k[/latex] [latex]f'(x)=24x^5-3x^2[/latex] [latex]f'(2)=24*32-3*4=768-12=756[/latex] 5) [latex]f'(x)=3x^2-6x[/latex] [latex]3x^2-6x=0[/latex] [latex]3x(x-2)=0[/latex] [latex]x_1=0;x_2=2[/latex] [latex]f(1)=1-3+2=0[/latex] [latex]f(2)=8-12+2=-2[/latex] [latex]f(4)=64-48+2=18[/latex] max=18, min=-2