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Math - Calculus


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.
Another Linear Method
Another Linear Method
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Definition of an alternative to Newton's Method, including a discussion of this method's advantages and drawbacks.
MIT
Poor Man's Newton
Poor Man's Newton
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Definition of this modification to Newton's Method that does not require calculation of the derivative at each step of the method.
MIT
Newton's Method
Newton's Method
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Definition, with an applet for applying the method and a discussion of the benefits and disadvantages of this method.
MIT
Solving an Equation in One Variable
Solving an Equation in One Variable
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Brief description of four methods for finding a solution to an equation of the form f(x) = 0.
MIT
Finding One Dimensional Extrema
Finding One Dimensional Extrema
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Iterative divide and conquer method for finding a local maximum or minimum on a curve.
MIT
Quadratic Behavior at Critical Points
Quadratic Behavior at Critical Points
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Definition of a critical point and its use in finding maxima and minima of a function.
MIT
Extrapolating the Sequence of Answers
Extrapolating the Sequence of Answers
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Improving upon the symmetric approximation for a derivative using extrapolation.
MIT
Second derivative
Second derivative
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This website contains information detailing the meaning of the second derivative for one dimension functions as it relates to critical points, etc.
ubc.ca
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