Hints and Examples
- To view 2D graphs, use the first parameter in the keypad (X, T, or θ)
- To view 3D graphs, use the second parameter in the keypad (Y, V, or phi).
- Choose between different graph types by swiping left and choosing either Real or Complex.
- To graph a parabola:
- To graph ripples:
- To graph parametric relations, use the semicolon (;) operator to separate the different functions for X, Y, and Z.
- To graph a circle:
- To graph a cylinder:
- To graph a spiral:
- To graph a sphere:
Use equals (=) operator between two functions of X and/or Y.
- To graph a circle:
- To graph a crosshatch:
- To graph a hyperbola:
Visualization of complex functions
Graphs, in green, the output of specified definition of function f : ℂ → ℂ on top of the drawn function input.
exp(Z). Draw vertical lines; they are mapped to circles. Draw horizontal lines; they are mapped to differently angled lines.
View domain coloring plots of the specified definition of function f : ℂ → ℂ, with each point in the complex plane associated with an HSV color with value 1.
Z to view the identity color map.
The argument of the complex number determines hue, and the magnitude of the complex number determines saturation.
Complex argument in [0, 2π) → Hue angle in [0, 360°)
Complex magnitude in [0, +∞) % 20 → Saturation in [0, 1)
- To set a variable, use the = operator.
- To use a variable, tap Rcl and choose a variable from the popover list. The list shows the variables and their values.
- To define a function, use either function variable f or g. Functions can take any number of arguments.
- Call a defined function like this:
- To symbolically differentiate a function:
- D(X,sin(X)) → cos(X)
- D(Z,exp(Z)) → exp(Z)
- After calling this function, the value at the specified variable of the derivative is stored in variable ans.
- Swipe left for settings.
- Enable Speak in settings to speak buttons pressed and answers calculated, even if VoiceOver is off.
- Brackets do not need to be matched.
- When using complex numbers, angle units are in radians regardless of the mode set in the settings.
- The symbolic Taylor approximations for the factorial function ! are incorrect. Disable Symbolic Derivative to view Taylor approximations when using the factorial function.
- Do not create a self-referential function or a cycle of functions referring to each other, like:
- f(x)=g(x) and g(x)=f(x)
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- Special thanks to Daniel Lu for helping with the implicit plotting feature.
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