Тут явная пропорция
1)
![\frac{x+5}{x-5}= \frac{x-5}{x+5}](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%2B5%7D%7Bx-5%7D%3D+%5Cfrac%7Bx-5%7D%7Bx%2B5%7D)
(x+5)²=(x-5)²
либо х+5=х-5, чего не может быть
либо x+5=-(x-5)
x+5=5-x
2x=0
x=0
3)
![\frac{x-4}{2}=\frac{10+2x}{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-4%7D%7B2%7D%3D%5Cfrac%7B10%2B2x%7D%7Bx%7D)
x(x-4)=2(10+2x)
x²-4x=20+4x
x²-8x-20=0
D=8²+4*20=64+80=144
√D=12
x₁=(8-12)/2=-2
x₂=(8+12)/2=10
a) y = x⁸
y' = (x⁸)' = 8x⁷
б) y = 7
y' = 7' = 0
в) y = 5x + 2
y' = 5(x)' + 2' = 5 * 1 + 0 = 5
г)
д) y = 3Cosx
y' = 3(Cosx)' = 3 * (- Sinx) = - 3Sinx
е)
![y=7x^{5}-3x^{2}+\frac{5}{3x}+1=7x^{5}-3x^{2}+\frac{5}{3}x^{-1}+1\\\\y'=7(x^{5})'-3(x^{2})'+\frac{5}{3} (x^{-1})'+1'=7*5x^{4}-3*2x+\frac{5}{3}*(-x^{-2})+0=35x^{4}-6x-\frac{5}{3x^{2} }](https://tex.z-dn.net/?f=y%3D7x%5E%7B5%7D-3x%5E%7B2%7D%2B%5Cfrac%7B5%7D%7B3x%7D%2B1%3D7x%5E%7B5%7D-3x%5E%7B2%7D%2B%5Cfrac%7B5%7D%7B3%7Dx%5E%7B-1%7D%2B1%5C%5C%5C%5Cy%27%3D7%28x%5E%7B5%7D%29%27-3%28x%5E%7B2%7D%29%27%2B%5Cfrac%7B5%7D%7B3%7D%20%28x%5E%7B-1%7D%29%27%2B1%27%3D7%2A5x%5E%7B4%7D-3%2A2x%2B%5Cfrac%7B5%7D%7B3%7D%2A%28-x%5E%7B-2%7D%29%2B0%3D35x%5E%7B4%7D-6x-%5Cfrac%7B5%7D%7B3x%5E%7B2%7D%20%7D)
ж)
![y=\sqrt{x}(3x-1)\\\\y'=(\sqrt{x})'*(3x-1)+\sqrt{x}*(3x-1)'=\frac{1}{2\sqrt{x} }*(3x-1)+\sqrt{x}*3=\frac{3x-1}{2\sqrt{x} }+3\sqrt{x}=\frac{3x-1+6x}{2\sqrt{x} }=\frac{9x-1}{2\sqrt{x} }](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%7D%283x-1%29%5C%5C%5C%5Cy%27%3D%28%5Csqrt%7Bx%7D%29%27%2A%283x-1%29%2B%5Csqrt%7Bx%7D%2A%283x-1%29%27%3D%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%20%7D%2A%283x-1%29%2B%5Csqrt%7Bx%7D%2A3%3D%5Cfrac%7B3x-1%7D%7B2%5Csqrt%7Bx%7D%20%7D%2B3%5Csqrt%7Bx%7D%3D%5Cfrac%7B3x-1%2B6x%7D%7B2%5Csqrt%7Bx%7D%20%7D%3D%5Cfrac%7B9x-1%7D%7B2%5Csqrt%7Bx%7D%20%7D)
з)
7 больше корня из 48
7 больше 6.9
1-Г, остальное из за место нахеждения не могу решить