Calculus symbols

Calculus & analysis math symbols table

Symbol Symbol Name Meaning / definition Example
\lim_{x\to x0}f(x) limit limit value of a function  
ε epsilon represents a very small number, near zero ε 0
e e constant / Euler's number e = 2.718281828... e = lim (1+1/x)x , x→∞
y ' derivative derivative - Lagrange's notation (3x3)' = 9x2
y '' second derivative derivative of derivative (3x3)'' = 18x
y(n) nth derivative n times derivation (3x3)(3) = 18
\frac{dy}{dx} derivative derivative - Leibniz's notation d(3x3)/dx = 9x2
\frac{d^2y}{dx^2} second derivative derivative of derivative d2(3x3)/dx2 = 18x
\frac{d^ny}{dx^n} nth derivative n times derivation  
\dot{y} time derivative derivative by time - Newton's notation  
time second derivative derivative of derivative  
Dx y derivative derivative - Euler's notation  
Dx2y second derivative derivative of derivative  
\frac{\partial f(x,y)}{\partial x} partial derivative   ∂(x2+y2)/∂x = 2x
integral opposite to derivation  
double integral integration of function of 2 variables  
triple integral integration of function of 3 variables  
closed contour / line integral    
closed surface integral    
closed volume integral    
[a,b] closed interval [a,b] = {x | a x b}  
(a,b) open interval (a,b) = {x | a < x < b}  
i imaginary unit i ≡ √-1 z = 3 + 2i
z* complex conjugate z = a+biz*=a-bi z* = 3 + 2i
z complex conjugate z = a+biz = a-bi z = 3 + 2i
Re(z) real part of a complex number z = a+bi → Re(z)=a Re(3 - 2i) = 3
Im(z) imaginary part of a complex number z = a+bi → Im(z)=b Im(3 - 2i) = -2
| z | absolute value/magnitude of a complex number |z| = |a+bi| = √(a2+b2) |3 - 2i| = √13
arg(z) argument of a complex number The angle of the radius in the complex plane arg(3 + 2i) = 33.7°
nabla / del gradient / divergence operator f (x,y,z)
vector    
unit vector    
x * y convolution y(t) = x(t) * h(t)  
Laplace transform F(s) = {f (t)}  
Fourier transform X(ω) = {f (t)}  
δ delta function    
lemniscate infinity symbol  

 


Currently, we have around 1976 calculators, conversion tables and usefull online tools and software features for students, teaching and teachers, designers and simply for everyone.

You can find at this page financial calculators, mortgage calculators, calculators for loans, calculators for auto loan and lease calculators, interest calculators, payment calculators, retirement calculators, amortization calculators, investment calculators, inflation calculators, finance calculators, income tax calculators, compound interest calculators, salary calculator, interest rate calculator, sales tax calculator, fitness & health calculators, bmi calculator, calorie calculators, body fat calculator, bmr calculator, ideal weight calculator, pace calculator, pregnancy calculator, pregnancy conception calculator, due date calculator, math calculators, scientific calculator, fraction calculator, percentage calculators, random number generator, triangle calculator, standard deviation calculator, other calculators, age calculator, date calculator, time calculator, hours calculator, gpa calculator, grade calculator, concrete calculator, subnet calculator, password generator conversion calculator and many other tools and for text editing and formating, downloading videos from Facebok (we built one of the most famous Facebook video downloader online tools). We also provide you online downloanders for YouTube, Linkedin, Instagram, Twitter, Snapchat, TikTok and other social media sites (please note we does not host any videos on its servers. All videos that you download are downloaded from Facebook's, YouTube's, Linkedin's, Instagram's, Twitter's, Snapchat's, TikTok's CDNs. We also specialise on keyboard shortcuts, ALT codes for Mac, Windows and Linux and other usefull hints and tools (how to write emoji online etc.)

There are many very usefull online free tools and we would be happy if you share our page to others or send us any suggestions for other tools which will come on your mind. Also in case you find any of our tools that it does not work properly or need a better translation - please let us know. Our tools will make your life easier or simply help you to do your work or duties faster and in more effective way.

These below are the most commonly used by many users all over the world.

And we are still developing more. Our goal is to become the one-stop, go-to site for people who need to make quick calculations or who need to find quick answer for basic conversions.

Additionally, we believe the internet should be a source of free information. Therefore, all of our tools and services are completely free, with no registration required. We coded and developed each calculator individually and put each one through strict, comprehensive testing. However, please inform us if you notice even the slightest error – your input is extremely valuable to us. While most calculators on Justfreetools.com are designed to be universally applicable for worldwide usage, some are for specific countries only.


Page Id: 1629

This website uses cookies to improve your experience, analyze traffic and display ads. Learn more