Applications of the Derivative

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The derivative has dozens of useful applications for calculus, economics, and more. Practice using this powerful tool with free videos, online graphing exercises, worksheets, and study guides from across the web.
Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra.

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

Several example problems and tutorials dealing with differential calculus

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

Defintion of a stationary point. Above the level of most students. Useful for tutors.

Definition of a critical point. Above the level of most students. useful for tutors.

Definition of an inflection point. Above the level of most students. Useful for tutors.

Applet which shows the application of Newton's Method to find a numerical solution to a specified function.

Definition of another alternative to Newton's Method, in which intervals are split in half until a solution is reached once the endpoints of the interval have opposite signs.

Definition of an alternative to Newton's Method, including a discussion of this method's advantages and drawbacks.

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