The Derivative

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The derivative is one of the most important concepts in calculus, so make sure you understand it inside and out with these free resources from around the web. We have videos explaining derivative notion, instantaneous rate of change, and more.
In this video, Salman Khan of Khan Academy explains derivatives. Part 1 of 9.

Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra.

Definition of this method, f '(x) ~ (f(x+d) - f(x-d)) / (2d), for approximating derivatives and its advantages over the previous method.

Discussion of the potential problems with the first method for approximating derivatives.

Graphs of the types of discontinuities, including cusps, jump discontinuity, removable discontinuity, infinite discontinuity, and essential discontinuity.

Very extensive help sheet that contains everything from simple derivative/integration formulas, to quick explanations of advanced derivation and integration techniques.

Several example problems and tutorials dealing with differential calculus


Definition, including differentials and an applet for graphing a function and its derivative

Improving upon the symmetric approximation for a derivative using extrapolation.

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