From cb5f2946b3c4130bd33952a9e2ea1e7200bce423 Mon Sep 17 00:00:00 2001 From: Filip Znachor Date: Thu, 9 Feb 2023 12:40:37 +0100 Subject: [PATCH] =?UTF-8?q?=C3=9Aprava=20form=C3=A1tov=C3=A1n=C3=AD?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- KMA M1/9. Taylorův polynom.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/KMA M1/9. Taylorův polynom.md b/KMA M1/9. Taylorův polynom.md index 343d997..42226e1 100644 --- a/KMA M1/9. Taylorův polynom.md +++ b/KMA M1/9. Taylorův polynom.md @@ -10,13 +10,15 @@ Taylorův polynom tedy bude vypadat následovně. - $T_{n}(x) = a_{0} + a_{1}(x-x_{0}) + a_{2}(x-x_{0})^2 + \dots + a_{n}(x-x_{0})^n$ Platí tedy: -$$\begin{matrix} +$$ +\begin{matrix} f(x_{0}) = T_{n}(x_{0}) = a_{0} \\ f'(x_{0}) = T_{n}'(x_{0}) = a_{1} \\ f''(x_{0}) = T_{n}''(x_{0}) = 2a_{2} \\ \vdots \\ f^{(n)}(x_{0}) = T_{n}^{(n)}(x_{0}) = n! \, a_{n} -\end{matrix}$$ +\end{matrix} +$$ ### Definice Taylorova polynomu