Your First BASIC Calculus Lesson - let’s do a few SIMPLE problems together!

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9 ай бұрын

Understand basic Calculus - a simple introduction to Calculus.
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Пікірлер: 40

@asphaltandtacos 9 ай бұрын

I took two semesters of calculus in college. It is fun and challenging. I never took pre calculus before hand. Trigonometry is a requirement and you need to know your basic trigonometric identities otherwise you will be confused.

@Brazilbroker1 9 ай бұрын

This work you're doing on this platform is fantastic! I've shared numerous of these videos with my kids. You are a very experienced teacher, well done.

@devonwilson5776 9 ай бұрын

Greetings. This branch of mathematics is absolutely my favourite. The area of the shaded portion under the curve is (9-8/3)square units = 19/3 square units. This is determined from the intergral of Y= X^2 to get the integral dy= the integral of x^2. Now we get X^3/3 +C, applying the limits will result in 3^3/3-2^3/3=27/3-8/3=19/3 square.units. 2Xdx, and dy/dx= 2x.

@MVsFavorites 9 ай бұрын

I appreciate seeing how you teach. Your visual presentation is really good - I love your use of color!

@laurendoe168 9 ай бұрын

Having taken college calculus, I can state categorically that integration isn't anywhere near as simple as differentiation.

@Majorillin 9 ай бұрын

It’s been 26 yrs since I’ve been in this class time flies Math in general changed the way I think

@brucesmith9144 9 ай бұрын

“Why can’t we just use the formula instead?” The triangle problem demonstrated did just reveal the derivation of area of a right triangle, 1/2*b*h, using calculus! The area of a circle could similarly be derived using calculus (although with a different setup). That’s the real power of knowing calculus.

@joshuaduca5527 9 ай бұрын

i didn’t know the math until i go to online class grade 11 its hard to do self study sometimes because you need to teach yourself because you don’t have a teacher to teach you explaining everything

@user-zh9bi1bb3t 9 ай бұрын

Subtract the lower limit from the upper limit.

@russelllomando8460 9 ай бұрын

thanks for the lesson. 55 years ago, I had the basic calc of... if P, then Q. Lightyears away from what's taught now.

@sulimanibra5332 9 ай бұрын

Very clear thanks a lot Sir ❤

@stephaniewillits6720 9 ай бұрын

Question having zero calculus background; when you were working with the triangle it was y=x, but when we switched to the thingy shape under the parabola it switched to y=x^2. Why is that? I am trying to understand how to know what power our starting x will be raised to before adding the 1 in any given situation. Please explain. Great video for beginners.

@user-ne1od2xy5p 9 ай бұрын

Great video. Sir, maybe people will appreciate it more if you could show how y=x or x or x^2 can be known in actual practice?

@keithschipiour4684 9 ай бұрын

I go wow when I remember the day of week without looking at my phone

@sidjtexas 8 ай бұрын

Very Helpful, Thanks!

@jsEMCsquared 9 ай бұрын

Got 7 in my head from the beginning just by looking at it after seeing the base line of the triangle

@joshuagibson5121 9 ай бұрын

17:27 Did you mean whatever the result is you divide by the same number instead of whatever the result is you divide by 2?

@overlyfatman9722 7 ай бұрын

Yes. If the power change so does the denominator.

@deker0954 9 ай бұрын

Digital sampling? And kinda fancy algebra/geometry?

@Majorillin 9 ай бұрын

@paulsymanski489 9 ай бұрын

Ir might help if I understood why 1 is added to the exponent - or is it just one of those things that works?

@notreallydavid 8 ай бұрын

There's a proof, Paul, but it's quite long, and it needs you to get hold of a few new ideas (new if you haven't met them before, obviously). The aim of this video was to provide a quick example of problem solving using calculus - proofs would have stood in the way of that. There'll be lots of videos on here showing how calculus works deep down. There'll certainly be material on Khan Academy, for example. All best

@fattahtaherazer4920 8 ай бұрын

19/3

@warblerab2955 9 ай бұрын

So what do you do with thev equation at 8:24, y=x^2 +2? How would you find an area under that, say 0 to 4, using "basic calculus"?

@harrisonpearce4486 9 ай бұрын

It's at 20:34. Just plug in 0 and 4 instead of 2 and 3.

@Michael-nm1kq 9 ай бұрын

@warblerab2955 Actually, to calculate the area under y = x^2 + 2 from 0 to 4, rather than y = x^2 from 2 to 3, you would just take the integral over 0 to 4 of x^2 + 2 dx. So you would simply apply the antiderivative process that he described onto EACH term of that function: x^2 + 2 then becomes x^3/3 + 2x (think of the second term 2 as 2x^0 which integrates to 2x^1/1 which gives you the 2x) Plug in your bounds 0 and 4 and go from there. Intuitively, that second term in the function is raising the parabolic curve UP by 2 along the y-axis right? Which means that the area you're calculating has an additional rectangular section at the bottom, as compared to just y = x^2. After integration, you end up with the second term being 2x, which is linear. It represents the area of that rectangular portion, and so when you plug in your bounds, that second term expands out to length * height, which is (4 - 0) * 2 .

@overlyfatman9722 7 ай бұрын

@@Michael-nm1kqIf I swapped the +2 with a plus 3 Will 4in0x^2+3dx x(a)=4 x(b)=o =[x(a)^3/3 +3x(a)] - [x(b)^3/3 +3(b)] =64/3 +12 - 0 be correct?

@user-ne1od2xy5p 9 ай бұрын

Isn't a 0 numerator undefined or error because for example 0=2 if you cross multiply 0/2=0? Please enlighten me I'm just confused.

@ChristopherLusher 9 ай бұрын

Zero in the numerator is fine. How many 2's do you need to get to zero? Well, you need 0 of them. The answer of 0/2 is then 0. However, how many zeros do you need to get 2? Zero in the denominator is undefined. No amount of zeros will result in a 2, it's undefined. The answer of 2/0 is undefined.