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Wrath of Math
США
Добавлен 18 июл 2016
I teach math and rap sometimes.
Generalized Pythagorean Theorem in Inner Product Spaces | Linear Algebra
We prove the Pythagorean Theorem generalized to real inner product spaces. This says the square of the norm of the sum of two orthogonal vectors u and v is equal to the sum of the squares of the norms of those two vectors. This is easy to prove by definition of orthogonality and the basic properties of inner products. #linearalgebra
Inner Products and Inner Product Spaces: ruclips.net/video/RWLhjq2rfcw/видео.html
Angles and Orthogonality: ruclips.net/video/lKeYpwQER-M/видео.html
Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
Join Wrath of Math to get exclusive videos, music, and more:
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Inner Products and Inner Product Spaces: ruclips.net/video/RWLhjq2rfcw/видео.html
Angles and Orthogonality: ruclips.net/video/lKeYpwQER-M/видео.html
Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
Join Wrath of Math to get exclusive videos, music, and more:
ruclips.ne...
Просмотров: 48
Видео
Don't Use the Quotient Rule to Differentiate 1/x | Calculus 1 Exercises
Просмотров 4092 часа назад
Stop using the quotient rule when the power rule works like a charm! Brief discussion on the derivative of 1/x or x^-1, how to do it, and how to not do it. #calculus1 #apcalculus Master the Power Rule: ruclips.net/video/32FiaGLAcrM/видео.html Power Rule Member Only Master Problems: ruclips.net/video/uzQ6DMhUH50/видео.html Calculus 1 Course: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calcu...
Limit of ln(sinx) as x approaches Pi from the Left | Calculus 1 Exercises
Просмотров 2512 часа назад
We evaluate the limit of ln(sin(x)) as x approaches pi from the left by noticing that sinx approaches 0 from the right as x approaches pi from the left, and so we will rewrite the limit in a way that is easy to evaluate by making a variable substitution. #calculus1 #apcalculus Calculus 1 playlist: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calculus 1 Exercises playlist: ruclips.net/p/PLzt...
Derivative of sinx/x^2 with Quotient Rule | Calculus 1 Exercises
Просмотров 902 часа назад
We differentiate sinx/x^2 using the quotient rule, then simplify the derivative. #calculus1 #apcalculus Calculus 1 Course: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calculus 1 Exercises playlist: ruclips.net/p/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Join Wrath of Math to get exclusive videos, music, and more: ruclips.net/channel/UCyEKvaxi8mt9FMc62MHcliwjoin ◉Textbooks I Like◉ Graph Theory: am...
Computations with Weighted Euclidean Inner Product | Linear Algebra Exercises
Просмотров 1344 часа назад
We go over several examples of basic computations in an inner product space with respect to a weighted euclidean inner product on R^2. We compute weighted Euclidean inner products, we use the additivity property, compute distance in the inner product space, and compute the norm of a vector in the space using the inner product. #linearalgebra Inner Products and Inner Product Spaces: (coming soon...
How to Find Critical Points with Derivatives | Calculus 1 Exercises
Просмотров 914 часа назад
We go over how to find critical points and critical numbers of a function using the derivative. In each problem we take the derivative of the function and determine where the derivative doesn't exist and where the derivative is equal to 0, these x coordinates are the critical numbers. We then plug these critical numbers into the original function to find the y coordinates so we can write the cr...
Write Composite Function as Composition of Three Functions | Precalculus Exercises
Просмотров 764 часа назад
We go over three examples of writing a function as a composition of 3 functions f(g(h(x))). #precalculus Precalculus course: ruclips.net/p/PLztBpqftvzxUiMVxLfrqMauPKE3Q74c9i Precalculus Exercises playlist: ruclips.net/p/PLztBpqftvzxXzzo1o5cXBzP-RnBThLfqv Join Wrath of Math to get exclusive videos, music, and more: ruclips.net/channel/UCyEKvaxi8mt9FMc62MHcliwjoin ◉Textbooks I Like◉ Graph Theory:...
Triangle Inequalities in Inner Product Spaces | Linear Algebra
Просмотров 1737 часов назад
We prove the triangle inequalities in inner product spaces. This includes the triangle inequality for vectors and the triangle inequality for distances. We will need to know basic properties of inner products and the Cauchy-Schwartz inequality for this proof. #linearalgebra Cauchy Schwartz Inequality in Inner Product Spaces: (coming soon) Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53A...
Angles and Orthogonality in Inner Product Spaces | Linear Algebra
Просмотров 1349 часов назад
We introduce the definition of the angle between two vectors in an inner product space. We'll also see what it means for two vectors to be orthogonal in an inner product space and see examples of orthogonal and not orthogonal vectors in various inner product spaces. #linearalgebra Inner Product Spaces: ruclips.net/video/RWLhjq2rfcw/видео.html Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5...
Limit of (1-e^x)/(1+2e^x) as x approaches Infinity | Calculus 1 Exercises
Просмотров 8639 часов назад
We evaluate the limit of (1-e^x)/(1 2e^x) by dividing the numerator and denominator by e^x, then the limit easily simplifies to -1/2. #calculus1 #apcalculus Calculus 1 Course: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calculus 1 Exercises playlist: ruclips.net/p/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Join Wrath of Math to get exclusive videos, music, and more: ruclips.net/channel/UCyEKvaxi8m...
Products of Diagonal Matrices | Linear Algebra Exercises
Просмотров 1149 часов назад
We go over how to multiply diagonal matrices by inspection, simply by multiplying the corresponding diagonal entries of the matrices being multiplied. #linearalgebra Diagonal Matrices: ruclips.net/video/N5kRmvFXhGQ/видео.html Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc Join Wrath of Math to ge...
Gaussian Elimination with Infinitely Many Solutions | Linear Algebra Exercises
Просмотров 13412 часов назад
We go over solving a system of linear equations with infinite solutions using Gaussian elimination. In doing this, we reduce the matrix to row echelon form and then perform back substitution and parameterization then solve for the leading variables to get parametric equations describing the infinite solution set. A parametric description of the solution set implies infinitely many solutions. #l...
Transforming Coordinates Between Bases | Linear Algebra Exercises
Просмотров 12912 часов назад
We go over how to transform a coordinate vector between two different bases by multiplying the coordinate vector by a transition matrix. The transition matrix can be found by Gauss-Jordan elimination to determine how to express the vectors from one basis in terms of the other basis. #linearalgebra Find Transition Matrix Between Bases: ruclips.net/video/v4i686gDv38/видео.html Join Wrath of Math ...
Derivative of sqrt(x^2+1) with Chain Rule | Calculus 1 Exercises
Просмотров 13312 часов назад
We find the derivative of cube root x^2 (x^2/3) by rewriting the radical as a rational exponent then differentiating using the power rule. #calculus #apcalculus Master the Chain Rule: ruclips.net/video/VJDlhOYivMM/видео.html Calculus 1 Course: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calculus 1 Exercises playlist: ruclips.net/p/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Join Wrath of Math to ge...
Transpose of a Matrix | Linear Algebra
Просмотров 16014 часов назад
We introduce the transpose of a matrix. We'll complete several examples of finding the transpose of a matrix, introduce symmetric matrices, and see how to take the transpose of a matrix product. #linearalgebra Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc Join Wrath of Math to get exclusive vide...
Derivative of xsecx with Product Rule | Calculus 1 Exercises
Просмотров 9314 часов назад
Derivative of xsecx with Product Rule | Calculus 1 Exercises
Find Dot Product of Complex Vectors | Linear Algebra Exercises
Просмотров 21016 часов назад
Find Dot Product of Complex Vectors | Linear Algebra Exercises
Inner Products and Inner Product Spaces | Linear Algebra
Просмотров 39919 часов назад
Inner Products and Inner Product Spaces | Linear Algebra
Derivative of x^2e^xlnx (Product Rule with 3 Functions) | Calculus 1 Exercises
Просмотров 41319 часов назад
Derivative of x^2e^xlnx (Product Rule with 3 Functions) | Calculus 1 Exercises
Gaussian Elimination with Exactly One Solution | Linear Algebra Exercises
Просмотров 16421 час назад
Gaussian Elimination with Exactly One Solution | Linear Algebra Exercises
How to Find Transition Matrix Between Bases | Linear Algebra Exercises
Просмотров 18321 час назад
How to Find Transition Matrix Between Bases | Linear Algebra Exercises
Complex Conjugate, Re, Im, and Magnitude of Complex Vectors | Linear Algebra Exercises
Просмотров 12621 час назад
Complex Conjugate, Re, Im, and Magnitude of Complex Vectors | Linear Algebra Exercises
Derivative of sin(ax+b) | Calculus 1 Exercises
Просмотров 321День назад
Derivative of sin(ax b) | Calculus 1 Exercises
Find Equation of Line Tangent to x^(1/4) at (1,1) | Calculus 1 Exercises
Просмотров 167День назад
Find Equation of Line Tangent to x^(1/4) at (1,1) | Calculus 1 Exercises
The Complex Dot Product (Euclidean Inner Product) | Linear Algebra
Просмотров 214День назад
The Complex Dot Product (Euclidean Inner Product) | Linear Algebra
Derivative of cotx/(1+cotx) with Quotient Rule | Calculus 1 Exercises
Просмотров 123День назад
Derivative of cotx/(1 cotx) with Quotient Rule | Calculus 1 Exercises
Real and Imaginary Parts of a Matrix | Linear Algebra Exercises
Просмотров 346День назад
Real and Imaginary Parts of a Matrix | Linear Algebra Exercises
Derivative of cos(ax+b) | Calculus 1 Exercises
Просмотров 177День назад
Derivative of cos(ax b) | Calculus 1 Exercises
Parametric Equations to Describe Solution Set of Linear Equation | Linear Algebra Exercises
Просмотров 131День назад
Parametric Equations to Describe Solution Set of Linear Equation | Linear Algebra Exercises
Derivative of ln(secx) with Chain Rule | Calculus 1 Exercises
Просмотров 173День назад
Derivative of ln(secx) with Chain Rule | Calculus 1 Exercises
Fantastic and clear tutorial. I'll check up the followup row video, man. Seriously, thanks for the clear explanation for my literally clinically diagnosed ADHD addled mind...
Glad to help! This video is in my algebra 2 playlist, so it's pretty basic. You might find more of what you're looking for, solving systems with row operations, in my Lin Alg series: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG
Calculus 1 Course: ruclips.net/p/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy Calculus 1 Exercises playlist: ruclips.net/p/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Join Wrath of Math to get exclusive videos, music, and more: ruclips.net/channel/UCyEKvaxi8mt9FMc62MHcliwjoin
I multiplied with 1/2x. I went ((sin(2x)/2x)/(x/2x)=sin(2x)/2x*2x/x=2*1=2
Excellent, the 3rd and 4th probs were outside my understanding, so this was perfect for me
Glad it helped! Thanks for watching!
This video was very helpful. Thank you!
Glad to hear it, thanks for watching!
Thank you so much for explaining it so clearly… My professor didn't explain it very well after a decade of teaching!!!
So glad it was helpful! Thanks for watching!
Love india❤❤❤❤❤❤❤
Thanks for watching!
I've never been any too fond of the quotient rule as it is obviously error prone. It's easier to write the denominator with a negative exponent and to employ other rules of differentiation.
Agreed!
Very interesting Math problem, Sir. Thank you 😊
Another masterpiece!❤ Thanks for answering my basic question, too! I'll be back for more!
Thanks so much! Let me know if you ever have any more questions!
You earned one more suscription by this vid!❤ love you to deaaaaaaath
Thank you! ❤
@WrathofMath Hey, can I ask you a question?! When you say (A, R) is a POset, how do you read (A, R)? I mean, what these symbols ( , ) represent here? Does it mean that A has an R relation in its elements?
That's correct, in general (A,R) is fairly ambiguous notation and can mean a lot of things, but in context we understand (A,R) is the set A with the partial order relation R on it.
@@WrathofMath THANK YOU SOOOOO MUCHHHHH😭😭😭😭😭😭💓💓
I watch 80 seconds commercial to get your videos. this is fracking unfair.
You're doing a great job sir!
Thank you! 🙏
@@WrathofMath Your contents make me wait eagerly for the next ones😊
How am i here when it was uploaded a minute ago. I was looking at your tree video and looked at the channel and recent uploads. Good stuff! Keep doing what your doing!
Ah trees - a classic! Thanks for watching!
100th comment
💯 🏆
everytime i search .......... wrath of math I know I will understand. Great videos man...Big UP
Thank you!
Mate thanks for the help and aspiration , i passed the algebraic structures subject and i am waiting the results of number theory one, you where a great reason for it and of understanding better the fascinating world of algebra. Thanks again keep going !!!
Thanks so much, glad to help!
I like your nose 👃 btw thanks for the explanation
Thank you - it's my pleasure!
Thank you for videos! It truly helps with me trying to prepare for ap calc bc. It has all the videos I need to succeed. I watch your videos every day because of how helpful it is. Thank you.
That's great to hear, thanks so much for watching and good luck with the course! Let me know if you ever have any questions!
@@WrathofMath Thanks!
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Hi wrath of math! Could you do this for the Multivariate case? With when grad F =0, etc etc. Also, min max on constraints using lagrange?
sigma
Thanks sir, you are great teacher.
Thank you!
Check out the full course and my exercises playlist! Linear Algebra course: ruclips.net/p/PLztBpqftvzxWT5z53AxSqkSaWDhAeToDG Linear Algebra exercises: ruclips.net/p/PLztBpqftvzxVmiiFW7KtPwBpnHNkTVeJc
thanks, this is a great explanation.
Glad it was helpful! Thanks for watching!
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Nice vidéo !
Thank you!
Its amazing but you can easily use L'Hôpital's rule by taking derivate of numerator and denominator Keep goin
This is part of my large Calc 1 Exercises playlist, which is ordered according to a usual topic sequence in a Calculus course. This exercise comes before derivatives in the playlist, which is why there is no mention of L'Hospital. But yeah, once you know it, many of these limits become trivial.
If you had to write a proof, it is faster this way. For LHopital you have many conditions that you have to meet. Writing it out takes more time than just going with what they did in the video
10 Hours of AP Calc if that's your thing: ruclips.net/video/OWh6ZIsop9M/видео.html
You look like carl of mr beast
Thank you doctor, excellent explanation
Thank you for watching!
Literally searched "wrath of math how to write t" because of calc 3.
That's hilarious, glad I could deliver!
In the rule its minus but to solution you did add
Like I say in the video, the derivative of cosx (which is our g(x)) is -sinx, so -g'f becomes -(-sinx)sin(x) so +sin^2(x)
Nice video. Another way to think about the transition matrix from B1 to B2 is that it is the product of the transition matrix from the standard basis to B2 and the transition matrix from B1 to the standard basis
Thanks but I forgot the trick last time, can you show a trick to learn the trick supposed to help us remember the derivative pls 🙏
thank you, great job!
Thank you! I actually just recorded a video doing a basic IVT problem, here is an early link if it is of interest to you: ruclips.net/video/4y3VE4NXHpk/видео.html
Ram ram 🙏bhai.
Very good!
Thank you!
Can you also use the formula BP=AP to show similarity for the 2 by 2 matrix
No, the matrix P has to be invertible, in which case your equation would imply B=A. Perhaps you had a typo; we could have PB = AP with an invertible matrix P to show similarity.
Thank you so much for the great explanation 😊
Glad it was helpful! Thanks for watching!
@@WrathofMath It would be very helpful if you could put a video on proving Petersen graph is not Hamiltonian
wow!! So explicit
Thanks for watching!
Bro, this helped me a lot thank you !
Glad it helped! Thanks for watching!
So when something isn't a binary operation then what do you call it? In the case of natural number subtraction? Or is there no name for it and technically we just need to specify that the number on the right be equal to or less than the left and then it's a binary operation?!? Edit: I see "partial binary operation"... Is that correct?
Great job!
Thank you!
I went another way and ended up in the second examlpe with R1: 12/3 -15/3 -6/3 R2:15/3 -18/3 -6/3 R3: -8 9 3 Just needed to break down my result though.
Merry Christmas
you teach very well thank you so much for the complete explanation my name is Ali from Iran