3) f(x) = (6x -1)⁻⁵
f'(x) = -5(6x -1)⁻⁶ * (6x -1)' = -30/(6x -1)⁶
f'(x₀) = f'(1/3) = -30/(6*1/3 -1)⁶ = -30
4) f(x) = √(3x² +4)
f'(x) = 1/2√(3x² +4) * (3x² +4)' = 6x/2√(3x² +4) = 3x/√(3x² +4)
5) f(x) = x⁵ - 3 1/3 x³ +5x
f'(x) = 5x⁴-10x² +5
f'(x₀) = f'(-1) = 5 -10 +5 = 0
(4/3*(1/2)^3)/(2/9)^2= (4/3*1/8)/(4/81)=(1/6)/(4/81)=(1/6)*(81/4)=27/8=3,375
<span><span>2407Alexa<span>почетный грамотей </span> ответила 11.12.2012 </span><span>у=5/9х-16 и у=3/4х+5 5/9х-16=3/4х+55/9х-3/4х=5+165/9х-3/4х=21((20-27)/36)х=21- обе части уравнения умножаем на 36-7х=756х=-108у=5/9х-16у=5/9*(-108)-16=-60-16у=-76у=3/4х+5у=3/4*(-108)+5=-81+5у=-76 точка пересичения графиков (-108;-76)у+рх=0-76+р(-108)=0-108р=76р=-0,7(037) </span></span>