<span>f(x) = x^3.
</span>
<span><span> f(1) - f(0) = 1^3 - 0^3 =1
f(2) - f(1) = 2^3 - 1^3 = 8 - 1 = 7
f(3) - f(2)</span> = 3^3 - 2^3 = 27 - 8 = 19
1 < 7</span> < 19
<span> f(1) - f(0) < f(2) - f(1) < f(3) - f(2)</span>
Sin 5п/4=-sqrt2/2
tg 7п/6=(sin 7п/6)/(cos7п/6)=(-1/2)/(-sqrt3/2)=1/sqrt3
7) y=x⁷⁰*sin(x)
y'=(x⁷⁰)'*sin(x)+x⁷⁰*(sin(x))'=70*x⁶⁹*sin(x)+x⁷⁰*cos(x)=
=x⁶⁹*(70*sin(x)+x*cos(x)).
8) y=(x⁵-1)/(x⁶+1)
y'=((x⁵-1)'*(x⁶+1)-(x⁵-1)*(x⁶+1))/(x⁶+1)²=(5x⁴*(x⁶+1)-6x⁵*(5x-1))/(x⁶-1)²=
=(x⁴*(5*(x⁶+1)-6x*(x⁵-1))/(x⁶+1)²=x⁴*(5x⁶+5-6x⁶+6x)/(x⁶+1)²=
=x⁴*(-x⁶+6x+5)/(x⁶+1)².
3x+5y
x-стоимость кефира за один пакет
y-количество молока