Решение
- 6√3 ctg(- 4π/3) = 6√3*(1/√3) = 6
Производная от ctgx=
![- \frac{1}{sin^{2}x}](https://tex.z-dn.net/?f=-+%5Cfrac%7B1%7D%7Bsin%5E%7B2%7Dx%7D+)
производная от tg(x+pi/4)
![\frac{1}{cos^{2}x+ \frac{ \pi }{4}}](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7Bcos%5E%7B2%7Dx%2B+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%7D)
получается
![y'(x)=- \frac{1}{sin^{2}x} + \frac{1}{cos^{2}x+ \frac{ \pi }{4}}](https://tex.z-dn.net/?f=y%27%28x%29%3D-+%5Cfrac%7B1%7D%7Bsin%5E%7B2%7Dx%7D+%2B+%5Cfrac%7B1%7D%7Bcos%5E%7B2%7Dx%2B+%5Cfrac%7B+%5Cpi+%7D%7B4%7D%7D)
(y-9,2)=35 5/10+13 5/9
(y-9,2)=35 45/90+13 50/90
(y-9,2)=49 5/90
y=49 5/90 +9 18/90
y=58 23/90
Ответ:
1. 14- 6*4=-10
2. 14-6*(-2)=14-(-12)=14+12=26
3. 14-6*0=14
4. 14-6*(-0,3)=14-(-1,8)=14+1,8=15,8
4. 14-6*3/8=14-3*3/4=14-9/4=47/4 или 11 3/4 или 11,75