Найти производную. 1,2,3,4,5

1)
$y'=(2x+2)(x-2)+(x^2+2x+4)$
$y'= \frac{2x(x^2-1)-2x^3}{(x^2-1)^2} = \frac{2x^3-2x-2x^3}{(x^2-1)^2} =- \frac{2x}{(x^2-1)^2}$
$y'=-10x^4+32x^3-3x^2$

2)
$y'=1+ \frac{4}{x^2}$
$y'(0)$ не существует

$y'=cosx+3$
$y'(0)=4$

3)
$v(t)=s'(t)=12x^3+2x$
$v(1)=12+2=14$
$a(t)=v'(t)=s''(t)=36x^2+2$
$a(1)=36+2=8$

4)

$f'(x_0)=k$
$f'(x)=24x^5-3x^2$
$f'(2)=24*32-3*4=768-12=756$

5)
$f'(x)=3x^2-6x$
$3x^2-6x=0$
$3x(x-2)=0$
$x_1=0;x_2=2$

$f(1)=1-3+2=0$
$f(2)=8-12+2=-2$
$f(4)=64-48+2=18$

max=18, min=-2