A function is not differentiable if it has a cusp or sharp corner. As well as the problems with division by zero shown above, we can’t even findlimitsnear the cusp or corner because theslopeto the left of the cusp is different than the slope to the right. ...
Aside from the obvious benefit of speed and convenience, you also get to learn about your math lessons straight from the pros. You’ll be provided with a comprehensive tutorial, allowing you to study the solutions step-by-step. This guarantees that you won’t be left in the dark, helping ...
This function is trying to get to its limit of -1 (red dashed line), even if it doesn’t quite get there. Generally speaking, a limit puts some kind of boundary in place: a point where you can’t (or shouldn’t) go any further. For example, a maximum speed limit of 75 m.p....
Check out this Desmos graphic to see this interactively. I admit I often come to play with it when I need to refresh my understanding of the two products. It is crucial that you have a basic intuition about the dot and cross products if you are to follow the rest of this tutorial. I...
In this article, I'm going to discuss why scoring an 800 is a good idea, what it takes to score an 800, and then go into the 8 key SAT Math strategies so you know how to get an 800 on SAT Math. Stick with me—as an advanced student, you probably already know that scoring high...
Im confused as to if the interval would be positive or negative for the following function because it has alot of curves what’s the dy/dx or slope of -2pi < x < pi/2 ? what’s the dy/dx or slope of pi/2 < x < 3pi/2 ? what’s the dy/dx or sl...
Therefore, it isn’t linear, but does appear to have the same slope. Nonlinear Functional Analysis Nonlinear functional analysis is the study of nonlinear functions. It’s the complement of linear functional analysis. In other words, it’s defined as the study of any function that isn’t ...
Step 1:Make a table of values.A good place to start is to find a few values centered around the origin (0). Choose a few x-values then plug those into your equation to get the corresponding y-values. I usedDesmos.com to create this table: ...
Varying the constant term in apolynomial functionmoves the function up or down. The following image (graphed withDesmos) shows how changing the last term of y = 2x2+ a moves the function on the y-axis: Quadratic functionsaren’t much different. The form of this particular function is: ...