Browsing: All Content in Calculus for Applications of Derivatives  Browse discussions |
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
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RealMedia movies of worked problems on antiderivatives and basic differential equations.
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Antiderivatives and Initial Va...
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Differential equations (Calculus) |
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Quiz (with answers) on antiderivatives and basic differential equations.
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Case Study: Torricelli’s Law
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Differential equations (Calculus) |
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Introduction to a calculus Case Study on differential equations and Torricelli's Law.
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Computer Project 2
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Applications of Derivatives (Calculus) |
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Some suggestions for experimentation with a polynomial function in various Newton's Method applets.
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Demos for Related Rates Proble...
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Related rates problems (Calculus) |
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This page includes a description of solution techniques for (time-dependent) related rates problems, and a gallery of ten "movies" to illustrate different problems.
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Derivative Module
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Velocity, speed, accel. (Calculus) |
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A series of worksheets and exercises to teach students about graphs, distance, velocity, and acceleration.
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Derivative Review 2
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Applications of Derivatives (Calculus) |
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Brief review of increasing/ decreasing tests, first and second derivative tests for maxima and minima, and related rates.
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Implicit Differentiation
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Implicit differentiation (Calculus) |
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RealMedia movies of worked problems on implicit differentiation.
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Implicit Differentiation: Quiz
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Implicit differentiation (Calculus) |
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A quiz (with answers) on implicit differentiation.
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Introduction to the Issues
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Velocity, speed, accel. (Calculus) |
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RealMedia movies of worked problems on average velocity and acceleration.
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Introduction to the Issues
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Differential equations (Calculus) |
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A RealMedia movie: what is a differential equation?
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Inverse Function Theorem
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Derivative of inverse function (Calculus) |
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A Geometer's Sketchpad document used to create an applet to investigate the relationships between the sine function, the inverse sine function, and their derivatives.
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Inverse Function Theorem Apple...
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Derivative of inverse function (Calculus) |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Inverse Function Theorem applet.
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Inverse Function Theorem Exerc...
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Derivative of inverse function (Calculus) |
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Use an applet and a graphing calculator to investigate the Inverse Function Theorem.
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Modeling Rates of Change: Intr...
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Velocity, speed, accel. (Calculus) |
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A quiz (with answers) on average velocity and acceleration.
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Modeling with Differential Equ...
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Differential equations (Calculus) |
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A quiz (with answers) on basic differential equations.
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Newton Basins
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Newton's Method (Calculus) |
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A discussion of Newton Basins, the areas in the complex plane where Newton's method converges to a given root.
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Newton's Method
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Applications of Derivatives (Calculus) |
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Describes Newton's Method for approximating the roots of a function.
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Newton's Method
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Newton's Method (Calculus) |
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Describes Newton's Method for finding the roots of an equation.
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Newton's Method
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Newton's Method (Calculus) |
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RealMedia movies of worked problems: when does Newton's Method converge to a solution, and when does it fail?
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Newton's Method Examples for f...
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Applications of Derivatives (Calculus) |
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Three example expressions for use with the Newton's Method program.
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Newton's Method: Quiz
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Newton's Method (Calculus) |
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A quiz (with answers) on Newton's Method.
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Newton's method for f(x) = 0
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Applications of Derivatives (Calculus) |
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Support Material |
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Describes the convergence rate of Newton's method.
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ODE Toolkit
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Differential equations (Calculus) |
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ODE Toolkit can numerically find and display the solutions to differential equations. It is useful when you want to visualize the solutions to differential equations, or when analytic solutions are no...
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Optimization: Quiz
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Optimization and extrema (Calculus) |
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Quiz (with answers) on optimization problems.
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