We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.
Break-Even analysis and the effect of changing Fixed costs, Variable Costs, and Selling price on Profit/Loss
Try to move points (one at a time) C, B, and D C for a change in fixed cost B for a change in selling price D fora change in variable cost
Tracking of income & expenses for student budgeting.
Car Depreciation Over 5 Years
This dynamic worksheet illustrates the relationship between the DETERMINANT, the Area of the pre-image, and the Area of the image.
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik
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Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik
Developing the Concept of a Determinant using DGS
This simulation allows you to use a slider to see how positive and negative integers add on a number line.
Based on knowledge of the unit Circles, students see how sinusoids (Sine and coSine waves) get their shapes.
This resource demonstrates the distributive property through the area of rectangles. You can manipulate the dimension by moving the slider.
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik
This is an open-source, modern physics textbook typically for the third semester students majoring in engineering, physics or chemistry. An emphasis is placed on fundamental principles as well as numerical solutions to equations where no analytical solutions exist. The content begins with optics and uses that as a stepping stone to wave phenomena and quantum systems.
A visual demo of Newton's Method for pre-calculus students.
This models Newton's Method using a custom tool.
This shows how Newton's method (also known as Newton-Raphson) is used to find a root of a function. You can show/hide various parts of the construction, and edit the particular function being considered.
Students will create their own sine function to match a picture of mountains. This will teach them what the coefficents of trig functions do.