## Calculus Symbols

Calculus and analysis math symbols and definitions.

## Calculus & analysis math symbols table

Symbol Symbol Name Meaning / definition Example limit limit value of a function εepsilon represents a very small number, near zero ε→0ee constant / Euler's number e= 2.718281828...e= lim (1+1/x),^{x}x→∞y'derivative derivative - Leibniz's notation (3 x^{3})' = 9x^{2}y''second derivative derivative of derivative (3 x^{3})'' = 18xy^{(n)}nth derivative n times derivation (3 x^{3})^{(3)}= 18derivative derivative - Lagrange's notation d(3x^{3})/dx= 9x^{2}second derivative derivative of derivative d^{2}(3x^{3})/dx^{2}= 18xnth derivative n times derivation time derivative derivative by time - Newton notation time second derivative derivative of derivative partial derivative ∂( x^{2}+y^{2})/∂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}iimaginary unit i≡ √-1z= 3 + 2iz*complex conjugate z=a+bi→z*=a-biz*= 3 + 2izcomplex conjugate z=a+bi→z=a-biz= 3 + 2i∇ nabla / del gradient / divergence operator ∇ f(x,y,z)vector unit vector x*yconvolution y(t) =x(t) *h(t)Laplace transform F(s) = {f(t)}Fourier transform X(ω) = {f(t)}δdelta function ∞ lemniscate infinity symbol

## See also