This is a really interesting question from the front lines of AP Calculus AB.
Free study guides and discussions about various topics in Mathematics. Thanks for stopping by!
This is a really interesting question from the front lines of AP Calculus AB.
This is an interesting derivatives question that can be dealt with more easily if we employ a somewhat advanced, possibly non-obvious algebra trick.
Measures of center is a key topic in Statistics. Here, The Atlantic discusses it in reference to COVID and COVID data.
Conic sections problems can be tricky for many reasons. In this problem, we are only given some points and the parabola’s orientation, and we are asked to find the equation of the parabola in vertex form. This article demonstrates two approaches to solving the problem.
Viruses and vaccinations are on everyone’s minds these days, and calculus can help with some very
specific problems. How important is the Fundamental Theorem of Calculus? How important is knowing
how to use trigonometric identities? This article will answer those questions and more.
Many new things are happening here!
Algebra2 and a year of Calculus are enough to follow most of what’s being said here. Super interesting.
Lots of good information is out there. Some people are really dedicated to their craft and to helping others. YouTube creator blackpenredpen is one such person.
Super interesting application of two useful techniques. Check this out!
Often, there are many ways to solve the same integration problem. This is an interesting one I saw on Reddit (r/Calculus) recently.
This is one that shows that things play out in interesting ways, at times.
When L'Hôpital's Rule isn't the savior that it usually is, slick algebra can help.
Reddit (r/Calculus) provides, as does L’Hôpital’s Rule in the clutch!
Very interesting application of L'Hôpital's Rule, where we have a tough derivative that results in easing the situation.
This is one where we just have to crank through the solution. Fortunately, we have two techniques from which to choose.
Sometimes a problem is just nonstandard enough…
Repeating decimals are rational numbers. Rational numbers can be expressed as ratios of integers. Let's look at some techniques for moving easily between repeating decimals and their ratio forms.
Once we acquire a skill and practice it, learning new skills sometimes begs a few shortcuts around skills
we’ve already mastered. In particular, working with fractions - fractions with numbers, as opposed
to variables - is one such area. The TI-84 family of calculators provides a few timesaving features for
working with fractions.
How do I know that I understand the finer points of curve sketching using Calculus I techniques? If you can handle this one, you’ve got it.
We know that implicit differentiation helps in many situations where we are not able to easily separate the dependent variable from the independent variable (single-variable Calculus). This example problem reminds us of why this is so useful.