difference between delta y and dy, calculus 1 tutorial

Рет қаралды 9,808

2 жыл бұрын

Learn the difference between delta y and dy for your Calculus 1 class. Remember, delta y is the exact difference (or the exact change) between the new y-value and the original y-value. On the other hand, dy is an "approximated difference" by using a derivative and we call dy the differential.
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Пікірлер: 32

@palindrome1959 9 ай бұрын

I just came across your channel. Very nice work, very detailed, and I like how you really show all the steps, rarely assuming that the viewer knows something as a matter of fact and including even simple and minor steps. I've always liked explanations like that because it makes it easier to remember, for me anyway ... lol ... Thanks for posting.

@CycloCarbon 3 ай бұрын

The pokeball helps alot

@swo.9350 2 жыл бұрын

DeltaY is just f(x+deltaX) - f(x) ? Why does it seems so complicated ;-;

@bprpcalculusbasics 2 жыл бұрын

Yes

@hata6290 2 жыл бұрын

@@bprpcalculusbasics TRAGIC

@YeahEsCereal Жыл бұрын

The 3rd bprp

@user-oi9iw9te4d 2 жыл бұрын

Plz introduce the mathematical meaning as well😏😏

@kobe11111 2 жыл бұрын

hmmm i wonder if the size difference has anything to do with the function being concave or not.

@CyCloNeReactorCore 2 жыл бұрын

is there any reason for knowing the difference, other than being able to flex?

@danielbickford3458 2 жыл бұрын

I've long wondered what the difference was between Dx and Delta X, and why they didn't just use the Delta, still curious why they didn't use a modified Delta symbol to signify an approximation instead of looking like another variable

@phiefer3 2 жыл бұрын

It's because the method is based on differentiation, so the method is simply expands differential notation. The fact that dx and delta X are "the same" is just a convention of this application, they're not actually the same concept at all. It's sort of like how you can have a function of the position of an moving object and call it p(x), and also have a function for the velocity of a moving object and call it v(x), but if you take the derivative of the position function p'(x) will also be the velocity. In this application p'(x) and v(x) are the same since they both will map the velocity of the object. But it would be wrong to say that a derivative is the same as velocity. In this particular application it is, but in general they're different concepts.

@danielbickford3458 2 жыл бұрын

@@phiefer3 got it

@Jared7873 2 жыл бұрын

I was thinking "You need to divide by the square root of (x-3)!", then it hit me 😵.

@kepler4192 2 жыл бұрын

Love the fact that I learnt those at physics first instead of precalc

@hata6290 2 жыл бұрын

IKR physics is cray

@kepler4192 2 жыл бұрын

@@succindallroy1 here's the thing, I'm not an american

@kemalkayraergin5655 2 жыл бұрын

Can you please also make a video about differantiaton operation and make us clear to understand the deep theory of calculus sir

@johncalculusmathsclass5998 2 жыл бұрын

Bravo, I wish to have a private chat with you I'm from Nigeria

@SuikodensEUCA 2 жыл бұрын

What about the partial derivative symbol ?

@hydropage2855 2 жыл бұрын

This has nothing to do with partial differentiation

@kamyk4740 2 жыл бұрын

@@hydropage2855 i think he was asking for a vid Abt delta y vs partial derivative of y idk tho I'm no that great alt math

@xinpingdonohoe3978 2 жыл бұрын

Well, if y=f(x) then partial(y)=dy It only changes when y is a multivariable function.

@hydropage2855 2 жыл бұрын

@@kamyk4740 Ah I see, makes sense

@stephenzhang3825 2 жыл бұрын

for future reference, computationally, partial differentiation is almost the exact same thing as a normal derivative except every other variable except the independent variable are treated as constants when taking the derivative

@hrayz 2 жыл бұрын

Sure, the derivative method is "easier" but less accurate. This method is best for small changes in the delta. Going from x=3 to x=3.8 is +26.67%, that's not small... In the second example, the delta_y (0.3416) vs dy (0.4) is out by 10.7% If the example was dx=0.08, that's just a change in x of 2.667%. Actual delta_y is 0.0392, the dy is 0.04, that's off by only 1.96%

@vijayalakashmibalaji233 2 жыл бұрын

Actually ∆Y=f(x+h)-f(x) which is taught in Indian schools is used in Numerical methods. It's easy to remember also(Just the numerator of the definition of derivative using first principle.

@CyCloNeReactorCore 2 жыл бұрын

he does this in the video without telling you the formula.

@CyCloNeReactorCore 2 жыл бұрын

8:06

@vijayalakashmibalaji233 2 жыл бұрын

@@CyCloNeReactorCore Yes!