In my earlier video, I showed how you can combine functions but only algebraic terms such as division and subtraction. But that is not the only way to combine functions; in this video I show how you can combine multiple functions by the procedure known as…

# ← # calculus

In this video I go further into composite functions and go over some very useful examples on determining the new composed functions as well as their corresponding domains.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiORpujeaVB4vf…

In this video I go over another Applied Project and titled “Radiation from the Stars”. This is an interesting project from my calculus book at the end of the section on Infinite Sequences and Series. The project involves blackbody radiation and comparing …

In this video I go over more examples on composite functions but this time I look at functions composed of more than 2 functions. The result is only a more complex function but the procedure is exactly the same as for 2 functions as shown in my earlier vi…

A while ago I made a video on exponential functions but didn't get the chance to go over some very useful examples. Which is why I made this video, where I go over an example on radioactive decay and determining the exponential function of Strontium-90 de…

Last video I did an example on radioactive decay when given the half life of strontium-90 and derived an exponential function. In this video I go over what the inverse of that function is as well as how to interpret it.

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It's time for another problems plus example video! In this video I go through a pretty tough example on solving inequalities that involve absolute values. I break down the absolute values into "cases" and show how you can solve the inequality in a step by…

In this video I go through another problems plus example which in this case is on Mathematical Induction. I also go over mathematical induction is and use the tough problems plus example to illustrate it further. The principle of mathematical induction is…

In this video I go over how to count in Binary and what the equivalent binary number is in the regular base 10 number system that we are accustomed to. Basically binary is the same thing as the regular base 10 number system except it uses a base 2 system …

In this video I go further into the wonderful world of limits and explain what one sided limits are as well as going through some useful examples on them.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNwuO7rJofPgaZpszA?e=0DAPYE…

In this video I go further into the limit laws and show how to apply them through some useful examples.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNsVBoT3pm4wKKNOUQ?e=XTAJ29

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/limit-laws-part-1-examples

In this video I go through further laws which will enable us to apply the first 5 laws shown in my earlier video. Also, since my calculus book included a section on the history of limits and Isaac Newton's involvement in the explicit formulation of limits…

In this video I go through some useful examples in illustrating how to apply the limit laws which were discussed in my earlier videos. Also I introduce the direct substitution property which allows for directly solving limits of polynomial and rational fu…

In this video I go over briefly what the direct substitution property is for limits and also go over a very useful example on how to solve limits where you can't directly substitute numbers into the limit.

Download the notes in my video: https://1dr…

In this video I go further into the wonderful world of limits and solve some useful examples utilizing the concepts of limits which I went over in my earlier videos. These examples are useful in understanding how to solve different cases of limits that mi…

In this video I go further into exploring examples on limits where you can not simply solve them right away but require to break them up into separate functions and apply the one-sided-limit approach in solving them. Basically for functions that are 2 in …

In this video I continue on the Limits Examples series and do a pretty interesting example on the Greatest Integer Function. The greatest Integer function can usually be written as [[x]] or |_x_| and it simply means that it is gives the largest integer le…

In this video I go in depth into determining the period of trigonometric functions and show that it is fairly easy to do so. Finding the period of any function if it exists is important since it will make graphing it much easier because you just need to k…

In this video I continue further into finding the period of trigonometric functions and look at a few harder examples. Although they appear harder, the concept and methodology of finding the period is the exact same as in Part 1.

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Earlier on I showed what the direct substitution property is and how it can be applied to solve limits involving polynomials or rational functions very easily. In this video I go over a simple proof for the direct substitution property for polynomials usi…

In this video I continue further into the Direct Substitution Property for Limits and prove that it's true for rational functions while utilizing the same property for polynomials (which was proved earlier).

Download the notes in my video: https://1…

In this video, I go further into the precise definition of a limit and do an example on proving that the limit of 4x-5 as x approaches 3 is equal to 7. This is a very useful video because I illustrate how you can easily rearrange some functions in such a …

In this video I go over a very useful example to illustrate the precise definition of a limit which I went over in my last video. This is a tricky subject to understand but it is very important to understand fully so make sure to watch this video!

D…

In this video I go over a quick proof of the Difference Law for limits. The law states that the limit of a difference is the difference of limits. The proof involves using the sum and constant multiple laws. The proofs of these laws are shown in the video…

In this video I go over the proof for the Sum Limit Law using the precise definition of a limit. The sum law states that the limit of a sum is the sum of limits. This is used throughout to prove limits of functions so make sure to understand why it is in …

In this video I go over a useful example finding the equation of the tangent line to a curve at a given point. The derivative at that point is the same as the slope of the tangent line and this is used in determining the equation of the tangent line.…

This is the eight video on the equations of lines and planes video series. In this video we will learn how to find the angle between two intersecting planes; we will also learn how to determine the equation of a line between two intersecting planes and la…

Hello there. This math post is about computing derivatives of polynomial functions. The topic of derivatives is typically for upper level high school math students, college math students or first year university math students.