# Curve Sketching – She Loves Math

Here is the formal definition of a critical number: Increasing and Decreasing Functions, and the First Derivative Test. We talked about critical points (critical numbers) of a function (minimums or maximums), where the first derivative is 0 (or not defined). Now let’s talk about the derivative when the function is increasing (going upward from left to right), or decreasing (going downward.

## Economic interpretation of calculus operations - univariate

A very clear way to see how calculus helps us interpret economic information and relationships is to compare total, average, and marginal functions. Take, for example, a total cost function, TC: For a given value of Q, say Q=10, we can interpret this function as telling us that: when we produce 10.

### Extremummathematics

Extremum: Extremum, in calculus, any point at which the value of a function is largest (a maximum) or smallest (a minimum). There are both absolute and relative (or local) maxima and minima. At a relative maximum the value of the function is larger than its value at immediately adjacent points, while at an a Calculus I - Minimum and Maximum Values In this section we define absolute (or global) minimum and maximum values of a function and relative (or local) minimum and maximum values of a function. It is important to understand the difference between the two types of minimum/maximum (collectively called extrema) values for many of the applications in this chapter and so we use a variety of examples to help with this.Economic interpretation of calculus operations - multivariate Let's try an example. Given the following function, start by setting first derivatives equal to zero: Using the technique of solving simultaneous equations, find the values of x and y that constitute the critical points.The function f x,y = x^3y^3 - 6xy has 0,0 and 2,2. The function eqf (x,y) = x^3y^3 - 6xy /eq has (0,0) and (2,2) as critical points. Determine if extrema occur at these critical points and classify the critical point(s) as relative maximum.Calculus CLEP Free Study Guide! Exam Description: The Calculus CLEP covers the material usually taught in a one semester college Calculus course. You will be expected to already understand college algebra, geometry, trigonometry, and analytic geometry.Examine the function fx,y = x^3y^33xy for relative. Examine the function eqf(x,y) = x^3y^33xy /eq for relative extrema and saddle points. Critical Points of a Two Variable Function: To find the relative extrema of a two variable function.

Parabola Calculator - eMathHelp

This calculator will find either the equation of the parabola from the given parameters or the axis of symmetry, eccentricity, latus rectum, length of the latus rectum, focus, vertex, directrix, focal parameter, x-intercepts, y-intercepts of the entered parabola.

• Level 3 Advanced resourcesNuffield Foundation
• Level 3 (Advanced) resources Level 3 Personal finance activities. House price moving averages This activity uses UK house prices to introduce moving averages and weighted moving averages. Credit cards Students use a recurrence relation to work out how long it takes to pay off a credit card loan and how much it can use a graphic calculator and/or spreadsheet to do the working.

Algebra II Calculators - eMathHelp

The page provides math calculators in Algebra II. They are free and show steps. Use search to find the required solver.

Intro, to Signal Processing:Integration and peak area.

iSignal is a downloadable user-defined Matlab function that performs various signal processing functions described in this tutorial, including measurement of peak area using Simpson's Rule and the perpendicular drop method. Click to view or right-click > Save link as, here, or you can download the ZIP file with sample data for testing.