Math Class

From the post before, there is no such thing as subtraction, so by reversing the numerator and denominator in the negative exponent equation, it becomes positive.

I only made it though about three weeks of high school calculus before I dropped out and that was 18 years ago. Thank you for doing this math refresher, as I did notice as I am having my kids do math workbooks all summer vacation, that I am now very rusty. Grade 5-7 math was causing me to mess up a bit. Good thing to note, my multiplication and addition tables are spot on right now from correcting so many workbook pages.

-off topic- My son is going into Grade 6, and although he follows end times stuff with me, I have told him math is still important to learn as he was taking much too long to do his math homework this past year. He is much faster after starting his workbooks at the beginning of June. My kids are getting rewarded at the end of summer when they complete their workbooks. I wouldn't make them do up to 8 workbook pages a day without some kind of incentive. In this case, it is a visit the West Edmonton Mall waterpark when they complete their books. If they don't finish by the end if summer, the reward will wait for them (the rapture may not- lol 🤣)- sorry, I don't get to make end times jokes very often.- It is not the most humorous subject.

You can't divide by zero. The square root of negative one works because you can return it with a function; you can square it to return it to negative 1.

X and U in the next couple paragraphs are varibles; the are letters that stand for numbers. In this case, they stand for any number.

The problem with dividing by zero is that anything you multiply zero by is zero. Therefore:

However:

There is an inconsistency here: 10/0 * 0 should equal one, yet it equals 0. It's not 0 at fault; it's the 10/0 thats breaking the laws of mathematics. Therefore, x/0 is impossible.

Don't feel bad, I took Calc 1 three times and Calc 2 three times also.

How it is taught is what makes all the difference in the world.

I should clarify my statement. Beloved, you are correct. In three dimensional space, using one two or three dimensional math, we cannot divide by zero.

Dividing by zero essentially puts us into 4th+ dimensional math.  Which can only be shown (generally speaking) by doing parts of the math problem individually (like doing all the problem in the X axis independent of the other two, then doing the Y, then the Z). This is sometimes called the Brute Force Method, or Method of Superposition.

 When we cover linkages (i'll do a simple one) I'll make the point about what happens when we divide by 0. And I think it will make sense. Think: Tesseract.

Okay! Im not pretending to be a math master; I'm self taught. However, I've taught myself multivarible calculus and linear algebra, so I'm not ignorant. I thought, when you said that you could divide by zero, you meant this:

I love that I have someone to teach me! God has answered my prayers.

That's the basic algebraic explanation for differentiating y with respect to x. There is a shortcut to it that everyone picks up really fast cuz its simpler. 

When we get to linear and non linear algebra we will begin to touch on slope, which is what derivatives are (and what your equation is) modeling. Your equation is showing that the slope of a vertical line is infinite, or undefined, algebraicly speaking.