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#LyX 2.3 created this file. For more info see http://www.lyx.org/
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\begin_body
\begin_layout Title
Osnovni izreki začetka analize
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\begin_layout Author
\noun on
Anton Luka Šijanec
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status open
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\backslash
today
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\backslash
newcommand
\backslash
euler{e}
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begin{multicols}{2}
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\[
\frac{df}{dx}=f'(x_{0})=\lim_{h\to0}\frac{f(x_{0}+h)-f(x_{0})}{h}=\tan\varphi
\]
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\begin_inset Formula
\[
(f(x)+g(x))'=f'(x)+g'(x)
\]
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\begin_inset Formula
\[
(f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)
\]
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\[
(c\cdot f(x))'=c\cdot f'(x)
\]
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\[
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\]
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\[
p\perp q\Rightarrow k_{p}=-k_{q}^{-1}\ ;\ \ \ p\parallel q\Rightarrow k_{p}=k_{q}
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\[
(x^{r})'=r\cdot x^{r-1},x\in\mathbb{R}
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\[
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\[
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\[
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\begin_inset Formula
\[
\sin\alpha-\sin\beta=2\sin\frac{\alpha-\beta}{2}\cdot\cos\frac{\alpha+\beta}{2}
\]
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\[
\lim_{x\to0}\frac{\sin x}{x}=1;\ \sin^{2}x+\cos^{2}x=1
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\[
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\[
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\[
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\]
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\[
\log_{a}1=0
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\[
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\[
y=log_{a}x\Leftrightarrow x=a^{b};\ x=a^{\log_{a}x}
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\[
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\]
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\begin_layout Standard
\begin_inset Formula
\[
(a^{x})'=a^{x}\ln a\Rightarrow(\euler^{x})'=\euler^{x}
\]
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\begin_layout Standard
\begin_inset Formula
\[
f(x_{0}+h)\approx f(x_{0})+f'(x_{0})\cdot h
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\begin_inset Formula
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\begin_layout Standard
Za možne napake ne odgovarjam.
Srečno!
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status open
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end{multicols}
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