# Browse Course Communities

Displaying 131 - 140 of 141

Essay giving very brief biography of l'Hospital, the history of his and Johann Bernoulli's rule, and a slightly modernized diagram for and version of the proof he and Bernoulli gave.
Timeline of contributors to formulation of the Calculus with biographies: Click on the historical figure's image to see his biography and two links to further online information.

Graphs solution functions $y(x)$ to the differential equation $y'=f (x,y)$, with initial value given by $y(x_0)=y_0$. The student can zoom in and out of the graphs.

The mathlet graphs solution functions $x(t)$ and $y(t)$ to the system of differential equations $x' = f(x,y)$ and $y' = g(x,y)$, with initial values given by $x(t_0)=x_0$ and \(y(t_0)=y
An article on how to teach tangent lines, the derivative, and local linearity through experimentation and exploration by students.
This applet encompasses five different applets on different topics and at different levels.
This GeoGebra applet plots the first and second derivative on the same graph. The tangent line to the graph of a function at a point is drawn.
Wolfram's demo for the product rule, with dropdown menus for the functions. Users can download the free Mathematica Player to play a live version of the demo.
This granular application shows the graph of exp(x) and interactively displays the Taylor polynomial approximations at any point and up to very high orders. It comes with a short explanation.
A very large colleciton of labs with interactive applets, covering nearly every topic in a typical multivariable calculus course.