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.
Free study guides and discussions about various topics in Mathematics. Thanks for stopping by!
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.
Implicit differentiation is very useful in a number of tricky situations. Here, we'll use implicit differentiation twice to solve a tough problem, noting some important choices we make along the way.
You were great at solving absolute value equations at one time, but now that you're working with absolute value inequalities, you can't get the right answer. Make the change!
Applications of trigonometric identities are sup er useful in this triangle area problem.
Using a little insight, we can make a problem that looks to have difficult calculations a little easier.
It took me several tries to get the differentiation correct! This is a tough one that demonstrates how keeping organized - somehow - can be an important part of problem solving.
A great example of how using a little bit of a trick avoids a whole lot of work. Nimble algebra is where it's at!
Let’s tie everything together and check out all the rules in action as we make sense of our gibberish problem!