1)Точки экстремума функции:
;
Промежутки монотонности: (-∞;1)∪(1;∞);
2)
3)
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Answers & Comments
1)Точки экстремума функции:
Промежутки монотонности: (-∞;1)∪(1;∞);
2)![\log_{3}(x+2) \log_{3}(x+2)](https://tex.z-dn.net/?f=%5Clog_%7B3%7D%28x%2B2%29%3C1%20%5CLeftrightarrow%20x%2B2%3C3%20%5CLeftrightarrow%20x%3C1)
3)![S=\int\limits^1_0 {-x^{2}+1} \, dx -\frac{1\times 1}{2} =\frac{2}{3}-\frac{1}{2}=\frac{1}{6} S=\int\limits^1_0 {-x^{2}+1} \, dx -\frac{1\times 1}{2} =\frac{2}{3}-\frac{1}{2}=\frac{1}{6}](https://tex.z-dn.net/?f=S%3D%5Cint%5Climits%5E1_0%20%7B-x%5E%7B2%7D%2B1%7D%20%5C%2C%20dx%20-%5Cfrac%7B1%5Ctimes%201%7D%7B2%7D%20%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B6%7D)