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анонимНам нужно найти нашей данной функции: f(х) = 2 + x^2.
Используя основные формулы дифференцирования и правила дифференцирования:
(х^n)’ = n * х^(n-1).
(с)’ = 0, где с – сonst.
(с * u)’ = с * u’, где с – сonst.
(u ± v)’ = u’ ± v’.
(uv)’ = u’v + uv’.
y = f(g(х)), y’ = f’u(u) * g’х(х), где u = g(х).
Таким образом, производная нашей данной функции будет выглядеть следующим образом:
f(х)\' = (2 + x^2)’ = (2)’ + (x^2)’ = 0 + 1 * 2 * x^(2 – 1) = 1 * 2 * x^1 = 2 * x^1 = 2x.
f(5)\' = 2 * 5 = 10.
Ответ: Производная нашей данной функции будет равна f(х)\' = 2x, f(5)\' = 10.
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It was Friday evening and shopkeepers in Grimsby came to the Midland Bank to put their money into the night safe . But later that evening the night safe disappeared and with it $ 4,000 . Every Friday evening the shopkeepers put the money they take during the week into the night safe . They don't want leave it in their shops , but the bank closes early . The night safe is outside on the wall and the money they put into it goes into the bank . But on this Friday evening the people who came along the street with their bags full of money dropped them not into a night safe , but into a box that belonged to Mr. Mi chael Bell . Mr. Bell , who makes radios and televisions , had the idea when he saw two men outside the bank one evening . When he came home from work , the two men , who were apparently shopkeepers , were putting some money into the night safe . He made the box at home and painted it . When it was ready , he took it to the bank and hung it on the wall next to the night safe . On the front of the night safe he painted the words : " Please use the new night safe . This one is out of order . " Then he went round the corner and waited for the shopkeepers to arrive . He listened while they dropped their bags money into the box . When it was full , he quickly took it down and went hom with $ 4,000 . Mr. Bell is very clever and his idea was good , but not perfec Now he has time to think of other ideas . He's in prison for stealing .
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