3) v(t)=x'(t) = 1+2*4t^(4-1) = 1+ 8t^3
v(2) = 1 + 8* 2^3 = 1 + 64 = 65 (м/с)
a(t)=v'(t) = 8*3*t^(3-1) = 24t^2
a(2) = 24*2^2 = 24*4 = 96 (м/с)^2
2) уравнение касательной:
y=f (x0) + f'(x0)*(x-x0)
f (x0)=f (2)=4-2*2^2 = 4 - 8 = - 4
f'(x) = -2*2*x^(2-1) = -4*x
f'(x0) = f'(2) = -4*2 = -8
y= -4 + (-8)*(x-2) = -4 -8x + 16 = -8x + 12
