Matheno - Learn Well and Excel

Blog

Function with Given Properties – Problem of the Week

Function with Given Properties – Calculus Problem of the Week This Calculus Problem of the Week exemplifies a type of college-level exam problem that appears from time to time, and involves the definition of the derivative. It is unlike most homework problems that you will have done. (You know how some teachers love to throw… [read more]

Continue Reading »

Differentiability & Continuity – Problem of the Week

Differentiability and Continuity – Calculus Problem of the Week This Calculus Problem of the Week is a typical exam question that tests your understanding of differentiability versus continuity, and your ability to recognize the Definition of the Derivative and what it tells you. It’s also typical of a “which of these statements is/are true?” question…. [read more]

Continue Reading »

Discontinuities & Asymptotes – Problem of the Week

Discontinuities and Asymptotes – Calculus Problem of the Week This Problem of the Week is requires finding the discontinuities and vertical and horizontal asymptotes of a rational function. It’s based on several typical exam questions of this sort. Let’s get right to it! Solution. Note: There’s a graph of the function at the bottom of… [read more]

Continue Reading »

Definition of the Derivative – Problem of the Week

Typical Calculus Exam Problem: Definition of the Derivative This week’s problem is a typical exam question that requires using the Definition of the Derivative to first find the value of a function’s derivative at a given point, and then use that value to write the equation for the tangent line to the curve at that… [read more]

Continue Reading »

Removable Discontinuity – Problem of the Week

Typical Calculus Exam Question: Continuity This Problem of the Week is a typical exam question about continuity, in particular about a removable discontinuity. You should expect a similar one on your exam(s), since it combines what we’ve been practicing to compute limits with the idea of continuity. Detailed Solution The key realization for this type… [read more]

Continue Reading »

Limits from a Graph – Calculus Problem of the Week

This Calculus Problem of the Week (PoW) focuses on determining limits from a graph. These questions are meant as a quick check of your understanding, and mimic the type of typical question you’ll find on a college-level or AP®-style exam. As multiple-choice questions you get immediate quick feedback, and then more detailed solutions and discussion… [read more]

Continue Reading »

This site is free?!?

We don't charge for anything on this site, we don't run ads, and we will never sell your personal information.

We're passionate educators with a goal:

Provide high-quality, interactive materials to dedicated learners everywhere in the world, regardless of ability to pay,
so they (you!) can learn well and excel.

We're working to develop more.
If you'd like to give back and help support our efforts, all we ask is that you perhaps

Buy us a coffee We're working to add more,
and would appreciate your help
to keep going! 😊