Question

Помогитееее (подробное решение)

Answer 1

167
[(x-4)*3x²]=(x-4)`*3x²+(3x²)`*(x-4)=1*3x²+6x(x-4)=3x²+6x²-24=9x²-24
168
f`(x)=3(x+1)²(x+2)+1(x+1)³=(x+1)²(3x+6+x+1)=(x+1)
169
2)f`(x)=[2x(x²+1)-2x(x²-1)]/(x²+1)²=(2x³+2x-2x³+2x)/(x²+1)²=4x/(x²+1)²
4)f`(x)=[4x(1-7x)+7*2x²)/(1-7x)²=(4x-28x²+14x²0/(1-7x)²=(4x-14x²)/(1-7x)²
170
[(2x³+2x²+1)/(x-1)]`=[(6x²+4x)(x-1)-1*(2x³+2x²+1)]/(x-1)²
=(6x³-6x²+4x²-4x-2x³-2x²-1)/(x-1)²=(4x³-4x²-4x-1)/(x-1)²