4x^3 - x < 0
x (4x^2 - 1) < 0
x (2x - 1)(2x + 1) < 0
x = 0
x = - 0,5
x = 0,5
- + - +
--------- ( - 0, 5) ---------(0) ----------(0,5) -------> x
x ∈ ( - ∞; - 0,5)∪ (0; 0,5)
Ответ: 1,495*10^11=149500000000 метров.
Объяснение:
<span>{4(х-2)-3(у+3)=1
{3(х+2)-2(х-у)=5</span>
{4x - 8 - 3y - 9 = 1
{3x + 6 - 2x + 2y = 5
{4x - 3y = 18
{x + 2y = -1
{4x - 3y = 18
{x = -1 - 2y
{-4 - 8y - 3y = 18
{x = -1 - 2y
{-11y = 22
{x = -1 - 2y
{y = -2
{x = -1 -2y
{y = -2
{x = 3
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)