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.
0,2*(n^2-4n+4)-5,4=0
0,2n^2-0,8n+0,8-5,4=0
0,2n^2-0,8n-4,6=0
n^2-4n-23=0
D=16-4*(-23)=108
Y = kx + b
M ( 8 ; - 1 )
N ( - 2 ; - 3,5 )
- 1 = 8k + b
- 3,5 = - 2k + b
3,5 = 2k - b
2,5 = 10k
k = 0,25
- 1 = 8•0,25 + b
- 1 = 2 + b
b = - 3
Ответ у = 0,25х - 3
Решение во вложении.........................