Understand Calculus in 10 Minutes

for this curve. I'm just using this for simplicity's sake, but let's say I have this function described by this rule. Okay, now remember that we use these function descriptions like when we're trying to find an area and a volume in

calculus

, but here we have something called the derivative, and the derivative is basically a rule that allows us to find the slope at any point, if there is any exact point. along the curve, and that's the symbol that looks like this, it also looks like this, okay, this is another symbol in DX

calculus

over dy and there's even another one. a prime F, etcetera, but these crazy symbols are the derivatives, so let's take a look at how you would find the derivative of a function of 2x squared plus 2x plus 1.

Well, so far what we call, we actually call it first derivative , so all we do is we multiply this exponent 2 by this coefficient this number so 2 times 2 is what we keep the we do the same thing, so that's So, curve, ok, but you can see here what I just did, the mechanics of finding this are actually quite easy. Once again, there are a lot of rules, so I can use this. I'm not going to go into this now, but I can use this here, this particular rule to easily find the precise slope right now, okay, and this helps us solve tremendous problems. in math, okay, let me, um, maybe first of all, clean up this graph, let's say you want to know, this is how we're doing some kind of scientific study, we actually make the best curve and suppose this is maybe some kind of medication or pharmaceutical drug or you're testing well and you want to know, hey, wow, this is where it's decreasing, you know the symptoms of, you know, let's say, cancer, you know or reducing, you know, bad blood. cells in your body or whatever, you know here, you know you're testing, you're testing your test and you want to know, wow, this curve tells me right in this area that this particular one says that the dose is okay or a combination of what you're using is what works best and minimizes the problem, so you want to know exactly what this point is, okay, so you'd want to find here the slope of the curve, this is what allows us to answer these things accurately, it's Well, I call it maximum and minimum. problems, so anyway I'm sure this video was over ten

minutes

long, but I hope you got something right, this is the big problem with calculus, it's a big problem, it's a big problem, okay, but no It is, it's not impossible to learn even if you don't have a background in math where you are super strong in math and you struggle with math, you can beat calculus, you can definitely beat calculus, but it requires you to study a lot of rules and know the best way.

However, to address it is to

understand

the value of calculus, so remember that the two important things we study calculus for are to help us with these areas and to solve problems. Okay, we use the integral for that, and then the other thing. is to define the slope, okay, call this the derivative, so we use this symbol, okay, or this prime Y symbol or this symbol, there are several symbols that do the same thing, okay, so I hope you got something out of it. from this video for those who are out there taking calculus you know a lot about this and you say oh well this is not technically correct or this Anette, well listen, believe me, I'm dying, I'm a mathematician, I have a degree in mathematics, so that one doesn't is the point.

I'm talking to people who you know have no idea about calculus or interests in it, but anyway, thanks for watching and if you like this video, please subscribe to my channel, have a great day.