graph controls help

• select a point by mousing over it. the red dot's coordinates will be displayed for each function down below.
• pan the graph by clicking and dragging.
• zoom in and out with the mouse wheel.
• reset the zoom level by pressing the middle mouse button (typically by pressing down on the scroll wheel).
• pan back to the origin and reset the zoom level by double clicking the middle mouse button.
• update the graph with new functions by pressing enter or pressing the large 'graph' button.

• select a point by touching it. the red dot's coordinates will be displayed for each function down below.
• pan the graph by double tapping and dragging.
• zoom in and out with a pinch and zoom gesture.
• update the graph with new functions by pressing the large graph button.

function help

each grey box represents one function. functions can be added with the three buttons at the bottom of the list.

• f(x) or y'(x, y) or y''(x, y, y') - enter your expression here using the given arguments. entries are not case sensitive. the following functions are supported:
  • standard mathematical operators - +, -, *, /, ^. note that omitting multiplication operators (e.g. 2x) is not supported.
  • trigonometric functions - sin(), cos(), tan(), arcsin(), arccos(), arctan()
  • logarithms - ln(), exp()
  • absolute value - abs()
  • square root - sqrt()
  • floor - floor()
  • Heaviside step function - H(), or mu()
  • Dirac delta function - delta()
  • Stirling's Formula - gamma()

  the constants pi and e are also available.

• x and y - these boxes are for output only. they display the coordinates of your currently selected point. if the function is undefined for an x value, NaN (not a number) will be displayed.
• remove - remove this function.
• domain - the values where this function is defined. infinity and negative infinity can simply be typed as "infinity" and "-infinity".

differential equations have some additional input boxes:

• initial x, initial y, and initial y' - specify the initial conditions of the differential equation.

options help

• color - check this box to give every curve a unique color.
• points per x - the number of sample points that the program will compute in the length of one unit in the x axis. higher values increase the accuracy of the approximation, but will require more processing power.
• reset - resets everything, just as if you'd reloaded the page. nothing will be saved.
• export as image - lets you save the current graph as a png image. does not function on mobile browsers.

about

this tool was made by max erdwien and phillip dix.

approximations of first and second order differentials use the runge-kutta method.

if you have any questions or feature requests, please email maxerdwien@k-state.edu.