Arithmetic Operation

Mathematical operation perform on arithmetic numbers, expression, functions (Calculus) ...

Mathematical Operations on arithmetic numbers

Mathematical Operation	Symbol	Example
Addition	${\displaystyle A+B=C}$	${\displaystyle 2+3=5}$
Subtraction	${\displaystyle A-B=C}$	${\displaystyle 2-3=-1}$
Multiplication	${\displaystyle A\times B=C}$	${\displaystyle 2\times 3=6}$
Division	${\displaystyle {\frac {A}{B}}=C}$	${\displaystyle {\frac {2}{3}}=0.666}$
Power	${\displaystyle A^{n}=C}$	${\displaystyle 2^{3}=2\times 2\times 2=8}$
Root	${\displaystyle {\sqrt {A}}=C}$	${\displaystyle {\sqrt {9}}=3}$
Log	${\displaystyle LogA=C}$	${\displaystyle Log100=2}$
Ln	${\displaystyle LnA=C}$	${\displaystyle Ln9=3}$

Operation on arithmetic function

Mathematical Operations	Symbol	Example
Change in variables	${\displaystyle \Delta x}$ , ${\displaystyle \Delta f(x)=\Delta y}$	${\displaystyle x-x_{o}}$ , ${\displaystyle y-y_{o}}$
Rate of change	${\displaystyle {\frac {\Delta f(x)}{\Delta x}}}$	${\displaystyle {\frac {y-y_{o}}{x-x_{o}}}}$
Limit	${\displaystyle Limf(t)}$
Differentiation	${\displaystyle {\frac {d}{dt}}f(t)}$	${\displaystyle {\frac {d}{dt}}x^{n}=nx^{n-1}}$
Integration	${\displaystyle \int f(t)dt}$