√<span>81=|9|; </span>√<span>64=|8|; </span>√<span>100=|10|; </span>√<span>0.16=|0,4|; </span>√<span>0.09=|0,3|; </span>√<span>0.25=|0,5|; </span>√<span>1.44=|1,2|; </span>√<span>4900=|70|; </span>√<span>6400=|80|.</span>
1) 64а^2-9х^2+6х-1=(64а^2-1)-3х(3х-2)=(8а-1)(8а+1)-3х(3х-2);;;;;;;2) 25-m^2-8mn-16n^2=(25-16n^2)-m(m+8n)=(5-4n)(5+4n)-m(m+8n);;;;3) a^6+1+3а^2+3а^4=(а^3+1)^2+3а^2(1+а^2)
(х³у¹^5) ³
————— = х²у
х^7у -²^5
11²1\5
Ответ: 24,2
1) f(x) = 2x^-1 - 8x^-1/2 +6x^-2/3 +2x +6x^5/2
f'(x) = -2x^-2 +4x^-3/2 -4x^ -5/3 +2 +15x^3/2 =
= -2/x² +4/√х³ - 4/∛х^5 + 2 +15√x³
f'(1) = -2 +4 -4 +2 +15 = 15
2) Ищем производную по формуле : (UV)'= U"V + UV'
f'(x) = (x² -2)' *√(x² +1) + (x² -2) * (√(x²+1)'=
=2x*√(x² + 1) + (x² -2)* 1/2√(х² +1) * 2х=
= ( 2x(2x² +1) +x(x² -2) )/√(x² +1) = 5x³/√(х²+1)
f'(1) = 5√2/2