Auto-Linearization
Automatically selects the closest, easiest point to center local linearization using local quadratic approximation
Cart Animation
Animate the movement of a cart using a function of time!
Cart Animation 2
Similar to Cart Animation, except the background parallax-scrolls so that you don't have to chase down the cart.
Volume of Revolution
Visualize and calculate the volume of revolution of a provided function f(x) using the shell method
Dual Volumes of Revolution
Visualize and calculate the volume of revolution between functions f(x) and g(x) using the washer method
Calculating Pi
Shows how the formula converges at π, using the limit as x approaches ∞.
Concavity
Displays where a function is concave up and concave down, and highlights inflection points.
Extrapolating inverse functions
Numerically calculate the inverse function with regression.
Adjustable Taylor Polynomial
Generate a Taylor Polynomial approximation at a given point on a curve
GeoGebra Taylor Polynomial
Generate a Taylor Polynomial of any degree at a given point on a curve (GeoGebra)
Arc Length
Find the Arc Length of a given curve between two points
Arc Length (Polar)
Find the Arc Length of a given polar function between two angles
Arc Length (Parametric)
Find the Arc Length of a given parametric function between two values of t.
Symmetric Difference Quotient
Calculate the derivative at a point using the Symmetric Difference Quotient method
Simple Harmonic Motion
Animate a simple box-spring system given physics constraints
Tangent of a Polar Function
Display the tangent line of a polar function given an angle
Tangent of a Parametric Function
Display the tangent line and speed of a parametric given a value
Integrals Approximations
Showcases Left, center, and right-sided Riemann sums along with the Trapezoidal approximation method for calculating integrals
Simple Integrals
Displays the net area and total area under a function, with an adjustable zero-floor.
Dual Integrals
Similar to Simple Integrals, except with two functions
Polar Integral
Evaluate the area enclosed by a polar function
Dual Polar Integral
Evaluate the area between two polar functions
Table Integrals
Integrating table data using the Trapezoidal method
Local Linearization
Illustrates how linearization works
Differentiability
Highlights the function as red if the function is not differentiable at a given point, and green if it is.
Integral C finder
Finds the value of C when calculating the anti-derivative for any function
Anti-Derivatives
Plot the anti-derivative, given a function and a c-value
Polar to Cartesian
Convert polar coordinates to cartesian coordinates
Cartesian to Polar
Convert cartesian coordinates to polar coordinates
Probability Density
Demonstration of calculating probability with PDFs
Mean and Median of Probability Density
Find the mean and median of a PDF
Inverse functions
Plot the inverse function numerically by switching x and y
Simple orbits
A basic planet animation system using circle transformations
Complex orbits
A more correct planet simulation supporting elliptical orbits using circle transformations
Slope Field Generator
An enhanced version of an existing slope field generator that is easier to use
Tangent and Normal lines
A demo showing the equations for the tangent and normal lines at a given point
Average Rate of Change
A simple graph which shows slope calculation
Least-Squares Regression
Given means and standard deviations, calculate the line of least-squares regression
Boxplots
Display a box plot given quartiles
Expected Value, Standard Deviation, and Variance
Calculate the above using outcomes and probabilities
Animated Pride Flag
Support LGBT+!