2D Function & Relation Grapher, Visual Equation Solver
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Enter a function y = f(x), a relation x = g(y), a point (a, b),
or an equation such as x^2 + y^2 = 25.
Write pi for π. Typing 2x is fine: MathLive turns it into 2*x for you.
or an equation such as x^2 + y^2 = 25.
Write pi for π. Typing 2x is fine: MathLive turns it into 2*x for you.
Function: a function y(x) is expressed in terms of x, for each x there ONE y only
e.g. y = sin(x)
1st derivative y` = cos(x)
2nd derivative y`` = -sin(x)
3rd derivative y``` = -cos(x)
Relation: is an equation linking x to y, e.g. x = sin(y). A Relation is not a function because one x can have more than one y.
Equation: type any equation in x and y the way it is written in a textbook, e.g.
circle x^2 + y^2 = 25
ellipse x^2/16 + y^2/9 = 1
hyperbola x^2/9 - y^2/4 = 1
sideways parabola y^2 = 8*x
heart (x^2 + y^2 - 1)^3 = x^2*y^3
e.g. y = sin(x)
1st derivative y` = cos(x)
2nd derivative y`` = -sin(x)
3rd derivative y``` = -cos(x)
Relation: is an equation linking x to y, e.g. x = sin(y). A Relation is not a function because one x can have more than one y.
Equation: type any equation in x and y the way it is written in a textbook, e.g.
circle x^2 + y^2 = 25
ellipse x^2/16 + y^2/9 = 1
hyperbola x^2/9 - y^2/4 = 1
sideways parabola y^2 = 8*x
heart (x^2 + y^2 - 1)^3 = x^2*y^3
| Math Expression | How to Type in MathLive |
|---|---|
| arcsin | asin(x) |
| arccos | acos(x) |
| arctan | atan(x) |
| arccot | acot(x) |
| arcsec | asec(x) |
| arccsc | acsc(x) |
| square root | sqrt(x) |
| powers | x^2, x^(1/3) |
| constants | pi, e |
| natural log | ln(x) |
| log base 10 | log(x) |
| absolute value | abs(x) |
| angles | trig functions use radians |
| circle (equation) | x^2 + y^2 = 25 |