X^4-7x^3+6x^2-5x-19 | <u>_x-1</u>
x^4-x^3 x^3+6x^2+12x+7
6x^3+6x^2
6x^3-6x^2
12x^2-5x
12x^2-12x
7x-19
7x-7
+26
Находим производную по формуле производная дроби
![(\frac{5^x}{x-1})'=\frac{(5^x)'(x-1)-5^x*(x-1)'}{(x-1)^2}=\\ \frac{5^x*\ln a (x-1)-5^x}{(x-1)^2}=5^x\frac{\ln a (x-1)-1}{(x-1)^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B5%5Ex%7D%7Bx-1%7D%29%27%3D%5Cfrac%7B%285%5Ex%29%27%28x-1%29-5%5Ex%2A%28x-1%29%27%7D%7B%28x-1%29%5E2%7D%3D%5C%5C+%5Cfrac%7B5%5Ex%2A%5Cln+a+%28x-1%29-5%5Ex%7D%7B%28x-1%29%5E2%7D%3D5%5Ex%5Cfrac%7B%5Cln+a+%28x-1%29-1%7D%7B%28x-1%29%5E2%7D+)
Находим производную по формуле производная произведения
![(x^2*3^x)'=2x*3^x+x^2*3^x*\ln a](https://tex.z-dn.net/?f=%28x%5E2%2A3%5Ex%29%27%3D2x%2A3%5Ex%2Bx%5E2%2A3%5Ex%2A%5Cln+a)
X(3x+5)=0
x=0
3x+5=0
3x=-5
x=-5/3
ответы: 0 -5/3
(х-4)²=( x-5 )( x+2 )
х²-8х+16=х²-5х+2х-10
<u>х²</u>-<u>8х</u>+<em>16</em>-<u>х²</u>+5х-2х+<em>10= 0 выделенное подчеркиваем разными чертами</em>
<em>-5х+26=0</em>
<em>-5х=-26</em>
<em>х=<em>-26: (-5)</em></em>
<em><em>х=5.2</em></em>