# 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.
 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. MIT Definition of an alternative to Newton's Method, including a discussion of this method's advantages and drawbacks. MIT Definition of this modification to Newton's Method that does not require calculation of the derivative at each step of the method. MIT Definition, with an applet for applying the method and a discussion of the benefits and disadvantages of this method. MIT Brief description of four methods for finding a solution to an equation of the form f(x) = 0. MIT Iterative divide and conquer method for finding a local maximum or minimum on a curve. MIT Finding the extremal values of a function, including distinction between local and global maxima and minima. MIT Definition of a critical point and its use in finding maxima and minima of a function. MIT Improving upon the symmetric approximation for a derivative using extrapolation. MIT Graphs of the types of discontinuities, including cusps, jump discontinuity, removable discontinuity, infinite discontinuity, and essential discontinuity. MIT