8 N˙ISAN 2014
MT 382 LATEKS ARA SINAVI C¸ ¨OZ ¨UMLER
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\ begin df \ \ ] \left & array n=1 nˆs (veya nˆ{s}) \frac
11 12 13 14 15 16 17 18 19 20
\sin { lc (veya ll) \right. \tetxrm (veya \mathrm) x < 0 ˆ{b} (veya ˆb) \int \right| document
\documentclass[10pt,a4paper]{article}\usepackage[latin5]{inputenc}\usepackage{amsmath,amsfonts,amssymb}
1 {document}
\[ f(x)=\sin x \textrm{ ise } \frac{ 2 }{dx}= 3 cos x \textrm{ olur.} 4
\[ 5 [ \begin{array}{cc}
a 6 b \\
c & d
\end{ 7 }\right) \]
\[ \textrm{Euler’ in Form¨ul¨u:}\qquad \sum_{ 8 }^{\infty}\frac{1}{ 9 }=\prod_{p\textrm{ asal}}
\frac{1}{1- 10 {1}{p^s}} \quad(s>1)\]
\[ \lim_{x\to 0}\frac{ 11 x}{x}=1 \]
\[ \left| x \right| = \left\lbrace \begin 12 array}{ 13 } x & x\geq 0\ \mathrm{ise} \\
-x & x\leq 0\ \mathrm{ise}
\end{array} 14 ,\quad f(x)=\left\lbrace \begin{array}{lll}
x & x>1 & 15 {ise} \\
x^{2} & 0\leq x \leq 1& \mathrm{ise} \\
\sin x & 16 & \mathrm{ise}
\end{array}\right. \]
\[ \textrm{Diferensiyel-_Integral Hesabın Temel Teoremi (I. S¸ekli):}\quad \int_{a} 17 f(x)\, dx=
\left. 18 f(x)\, dx \, 19 _{a}^{b} \]
\end{ 20 }
f (x) = sin x ise df
dx = cos x olur.
a b c d
Euler’ in Form¨ul¨u:
∞
X
n=1
1 ns = Y
p asal
1
1 − p1s (s > 1) lim
x→0
sin x x = 1
|x| =
x x ≥ 0 ise
−x x ≤ 0 ise , f (x) =
x x > 1 ise x2 0 ≤ x ≤ 1 ise sin x x < 0 ise Diferensiyel-˙Integral Hesabın Temel Teoremi (I. S¸ekli):
Z b a
f (x) dx = Z
f (x) dx
b
a
1