I'm impressed that bprp can flip two or three color markers with hand while holding a microphone with the other hand and not make a mistake while rattling off 16 minutes worth of complicated derivatives.
This is a really informative video! I am one of your biggest fans, and I am really happy about this video. Now I won't have to go to 200 billion Google websites just to get some obscure formula I don't remember. Thank you so much!!!
the reason the abs value is there on derivatives of inverse sec and csc is because the square root is "multivalued". For negative x, the square root would have been negative, which accounts for the abs value
The way I was first taught to remember the Quotient Rule, and I still use it today, is to recite the phrase "low d-high minus high d-low over low-squared" lol
Hi, can you say if there is a way to know if a number is prime or not using calculus, it would be great if there exists a method like that, please say if there are alternative methods also other than calculus
Whether or not a number is prime, has nothing to do with calculus. It's a question for number theory. The way to determine whether or not a number is prime, is to test it for divisibility of all possible prime factors, up to its square root. Once you rule out all prime factors, you prove the number is prime. If you were writing a computer code to do this, keeping track of all the prime numbers is probably a difficult way to do it, so a likely strategy you'd take is to test the candidates for prime numbers. You'd first test the 1-digit cases, like 2, 3, 5, and 7. Once you get to 2-digit numbers, you only need to test numbers ending in 1, 3, 7, and 9. After 20, you can also rule out candidates with digits that add up to a multiple of 3 (a test for divisibility by 3), and candidates with an alternating digit sum of zero (or a multiple of 11), a test for divisibility by 11.
@@teaformulamaths hi!, thanks for responding, prime numbers have nothing to do with calculus I know but I have seen great maths and physics geniuses use calculus to solve problems and find things where you would never imagine calculus would be used, so I was curious if those people or anyone had found a way to prove if a number is prime or not using calculus. And the method you talked about is the obvious way but the slowest and the most dreadful way.
@@unni6293 This is the standard definition, it's simple really. However prime numbers are not yet fully defined. By using calculus, we would need to relate the numbers to a geometrical pattern or a function. I have seen this defined in a different base, if you're interested?
@@bprpcalculusbasics also, since I’m in Info Tech, I had to learn computer science and the bases of math (binary, octal, decimal, hexadecimal, base32, base64 and base85). What I’m curious to know is, can all of the bases apply to arithmetic, algebra, trig/geo, calculus, and finally to the top, analysis?
No, secant and arcsine don't have much to do with eachother. sec(x) is just 1/cos(x). Also he calls arcsine sine inverse or sin^-1(x) in this video which is just another name for it, as it is the inverse function of sine: arcsin(sin(x)) = x
@@teaformulamaths The superscript "-1" to indicate inverse function, has been a mature concept before calculators were invented. Sure, calculator manufacturers adopted the notation, over much clearer notations like "arc-", "a-", and "anti-", and probably popularized it more than it was used in the days of purely handwritten math. It's unfortunate that we have three inconsistent applications of superscript to concern ourselves with in function notation (exponentiation, derivative level, and iteration level), but that's why we need to define our terms in words as well, to communicate with others. And become familiar with context A superscript "-1" meaning inverse, means an iteration of the function to the negative first degree.
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Get my derivative notes on my Patron 👉 www.patreon.com/posts/calc-1-table-98759206
great. now we have to remember it backwards for integration 😭🙏
Life will give you much harder problems than that. Get used to it, it is a meaningful struggle
@@longlivedemocracy10123 spoken
@@longlivedemocracy10123 surprisingly good advice
bro, if you remember it one way, you have it both ways 😂
Think retromingent and you'll be OK.
I'm impressed that bprp can flip two or three color markers with hand while holding a microphone with the other hand and not make a mistake while rattling off 16 minutes worth of complicated derivatives.
Lol thanks
This is a really informative video! I am one of your biggest fans, and I am really happy about this video. Now I won't have to go to 200 billion Google websites just to get some obscure formula I don't remember. Thank you so much!!!
Glad to hear! Thank you very much!
the reason the abs value is there on derivatives of inverse sec and csc is because the square root is "multivalued". For negative x, the square root would have been negative, which accounts for the abs value
This is good.
Now prove all of them by definition. :)
Actually having to evaluate the limit of sin x/x as x -> 0 aka The Limit.. 💀
thank you for this video!! it's exactly what i needed
You are hero of mathematics ❤❤❤
Dayum, finally a video like this! Thanks, everything in one place and nicely explained!
Now, for the same usual function, done for integrals !
I have a exam in a week, this will surely help!
Very good video can you make a video on how find A ,B and C in partial fractions thank you ❤
This is super useful!
I have a question in the differentiation of x^x why can't we write it as follow:
=(x.x^x-1)
=x²^x-1
=x^2x-2
First of all, x * x^x-1 = x^x not x^2^x-1
Secondly, when the power is a function the power rule cannot be used
Here February 17, 2024
th-cam.com/video/2-_QKF2wuDc/w-d-xo.html
The way I was first taught to remember the Quotient Rule, and I still use it today, is to recite the phrase "low d-high minus high d-low over low-squared" lol
Hyperbolic trick functions?
Can do a video like this for integration, please
Aren't they all in the text book? :D
Hi, can you say if there is a way to know if a number is prime or not using calculus, it would be great if there exists a method like that, please say if there are alternative methods also other than calculus
Curious - what is your definition of a prime number?
Whether or not a number is prime, has nothing to do with calculus. It's a question for number theory.
The way to determine whether or not a number is prime, is to test it for divisibility of all possible prime factors, up to its square root. Once you rule out all prime factors, you prove the number is prime.
If you were writing a computer code to do this, keeping track of all the prime numbers is probably a difficult way to do it, so a likely strategy you'd take is to test the candidates for prime numbers. You'd first test the 1-digit cases, like 2, 3, 5, and 7. Once you get to 2-digit numbers, you only need to test numbers ending in 1, 3, 7, and 9. After 20, you can also rule out candidates with digits that add up to a multiple of 3 (a test for divisibility by 3), and candidates with an alternating digit sum of zero (or a multiple of 11), a test for divisibility by 11.
@@teaformulamaths , so my definition for a prime number is that it is a number that is only divisible by 1 and the number itself
@@teaformulamaths hi!, thanks for responding, prime numbers have nothing to do with calculus I know but I have seen great maths and physics geniuses use calculus to solve problems and find things where you would never imagine calculus would be used, so I was curious if those people or anyone had found a way to prove if a number is prime or not using calculus. And the method you talked about is the obvious way but the slowest
and the most dreadful way.
@@unni6293 This is the standard definition, it's simple really. However prime numbers are not yet fully defined. By using calculus, we would need to relate the numbers to a geometrical pattern or a function. I have seen this defined in a different base, if you're interested?
Touche, elemental mi querido Watson.
One d-two plus two d-one.
Low d-high minus high d-low. Square the bottom and away we go.
Hey Steve. Explain antiderivatives to us! 😊
Maybe watch this video backwards?
@@bprpcalculusbasics ah, that’s right.
@@bprpcalculusbasics also, since I’m in Info Tech, I had to learn computer science and the bases of math (binary, octal, decimal, hexadecimal, base32, base64 and base85). What I’m curious to know is, can all of the bases apply to arithmetic, algebra, trig/geo, calculus, and finally to the top, analysis?
So secant is the same as the derivative of arcsin?
No, secant and arcsine don't have much to do with eachother. sec(x) is just 1/cos(x). Also he calls arcsine sine inverse or sin^-1(x) in this video which is just another name for it, as it is the inverse function of sine: arcsin(sin(x)) = x
I hate how sin^2 means sine squared while sin^-1 means inverse sine. So inconsistent!
I blame calculator companies
@@teaformulamaths why?
@@ThePeterDislikeShow Because they perpetuate the notation on the calculator 😄 I don't know where it began but it's confusing
@@ThePeterDislikeShow Just a little inside joke 😄🙏
@@teaformulamaths The superscript "-1" to indicate inverse function, has been a mature concept before calculators were invented. Sure, calculator manufacturers adopted the notation, over much clearer notations like "arc-", "a-", and "anti-", and probably popularized it more than it was used in the days of purely handwritten math. It's unfortunate that we have three inconsistent applications of superscript to concern ourselves with in function notation (exponentiation, derivative level, and iteration level), but that's why we need to define our terms in words as well, to communicate with others. And become familiar with context
A superscript "-1" meaning inverse, means an iteration of the function to the negative first degree.
got my calc exam tomorrow and i have NOT revised
Hope it went well!
Next would be integration 😂😂😂
🤤 "Promo sm"