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
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik ??? ?????????? ?????? ???????? ?? ???????????? ????? ? ????
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik
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
Developing the Concept of a Determinant using DGS
Based on knowledge of the unit Circles, students see how sinusoids (Sine and coSine waves) get their shapes.
Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik
This models Newton's Method using a custom tool.
A visual demo of Newton's Method for pre-calculus students.
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.
Simply shows multiplication of a vector by a scalar. Adjust he slider to adjust the multiple. Drag the point at the end of vector v to change the original vector.
This is a solver for problems involving the time value of money (TVM). It emulates the TVM solver on the TI-83+ and TI-84 graphing calculators. Updated 6 November 2011 to work correctly when I% = 0.
Addition of three Vectors, and displays resultant Vectors. Can drag the endPoints of the three different Vectors, but the resultant always starts at the origin.
My pre-Calculus students were having trouble visualizing what it meant for a geometric series to converge. They understood the formula aspect and how to calculate the value of a convergent sum, and saw what it meant for numbers adding successively, but I