You spend a lot of time and effort to produce high quality; very informative and useful representations; This is highly appreciated and we thank you for it .
@DannyOvox37 жыл бұрын
Never have I found and Math tutorial with such nice edits.
@photon27246 жыл бұрын
production quality is outta this world!
@kristakingmath5 жыл бұрын
Thanks, Photon!
@mbtisocialclub4 жыл бұрын
@@kristakingmath you’re welcome
@cassandratruth5 жыл бұрын
The sheet I got from my prof explaining this just looked like a giant mess of squiggly lines to me. This broke it down into individually presented little pieces, and was super helpful. Thank you thank you thank you!!
@kristakingmath4 жыл бұрын
You're welcome, Cassandra, I'm so glad it helped! :D
@samcoopermusic3 жыл бұрын
In addition to the excellent instruction, this video has the music dialed in at very precise levels of volume and funkiness. Thanks Krista King!
@jquick857 жыл бұрын
Keep the vids coming, Krista! I am gearing up for calc 3 here pretty soon and I'll need someone who has great skills with breaking things down!
@kristakingmath7 жыл бұрын
I'll be here :)
@PaintedMessiah6 жыл бұрын
I was struggling so much to understand this concept. It was like my brain came close to the answer but couldn't get there. You helped me bridge that gap, thank you!
@kristakingmath6 жыл бұрын
Awesome, Giorgio! I'm so glad it helped! :D
@dgd947a15fl7 жыл бұрын
This is the first of your videos that I've really watched. This one helped me a lot more than other videos on youtube because you take a lot of time to CONCEPTUALIZE it before going into the finer details of the operation. I really liked that. I'm going to go take a look at some more of your videos. If you start off taking a great deal of time conceptualizing things, I suspect I'll find those videos very helpful as well.
@kristakingmath7 жыл бұрын
I hope so! :)
@pbertolini6 жыл бұрын
Your videos are amazing. The production value makes them extremely watchable and easy to review. You have a real gift as a teacher. Thank you.
@HotelGenieAI7 жыл бұрын
I love you, you've changed my life.
@cariboux2 Жыл бұрын
Phenomenal explanation! Clear as day. I just watched Khan Academy and was very confused. I came here and within 10 minutes I understood it completely - and realized it's actually just simple common sense - as long as you've got a value really close, which isn't many.
@krashmans7 жыл бұрын
I love your videos, they are so easy to understand. Keep it up!
@mattheModest7 жыл бұрын
Man. This channel really helped me early on during my studies. I am so happy that it keeps going, I'll keep supporting you with views and likes as often as I can. Thank you.
@kristakingmath7 жыл бұрын
Thank you! It's much appreciated. :)
@nverkhachoyan3 жыл бұрын
This is amazing! Concise and easy to understand, thank you!
@kristakingmath2 жыл бұрын
You're welcome, Nver, I'm so glad you liked it! :)
@دارالعلومعربیہرجڑ5 жыл бұрын
Where was this video in 2017 when i needed it desperately.At last i Understand approximation.
@aaronpicking49357 жыл бұрын
Krista, I also have a degree in psychology and have a love for math. So, the use of the Nintendo sounding music in the background is genius! And, the format is as well. Great job in constantly improving your videos.
@kristakingmath7 жыл бұрын
Aw thanks Aaron! :)
@divyanshrai41386 жыл бұрын
What does the Nintendo sounding music have to do with it? (genuinely curious, does it make this seem more interesting?)
@abdurahmanitani59827 жыл бұрын
loving these new style videos you're the best krista hands down
@thesomalistrawhat7 жыл бұрын
This is good stuff. I appreciate the work you put into making these and I know personally that you make a good teacher. Keep it up, you'll always have at least one avid supporter
@ash_engineering6 жыл бұрын
Hello from India, Thank you so much for your efforts and making math so simple to understand .
@robwhitlock50306 жыл бұрын
Delta y, as commonly defined, doesn't give the error in the estimation, it gives the difference between the y values of two points on a function, f(x_2)-f(x_1). The error, on the other hand, would be the difference in y coordinates of two points, one on the function and one on the tangent line, but both with the x coordinate that you are trying to estimate the value of the function at. When you used f(x_2)-f(x_1) = f'(x_1)(x_2-x_1) at 6:47, the form of your equation requires that both (x_1,f(x_1)) and (x_2,f(x_2)) lie on the tangent line of f(x) that touches (x_1,f(x_1)). This is not true for all differentiable functions, and it's certainly not true for the square root function. Note that in your previous equation you had an approximate equality, which was fine, but at 6:47 you changed it to equality, which made it incorrect for most differentiable functions. Finding the value of f'(x_1)(x_2-x_1) doesn't tell you about the error in your estimation, it just tells you how much bigger or smaller your estimate is as compared to where you started, f(x_1). To find the error in your estimation you want to take the difference between your estimate and the true value: true value = f(x_2) estimated value = f(x_1) + f'(x_1)(x_2-x_1) error = (estimated value) - (true value) = f(x_1) + f'(x_1)(x_2-x_1) - f(x_2) Thanks for working to make high quality, easy to understand math videos! :)
@masumk5 жыл бұрын
Amazing content! Very simple yet effective explanations. I wish your channel had more subscribers though! You're so underrated!
@boboganbobogan92972 жыл бұрын
After multiple videos you made me understand this, as always
@kakashisensei35534 жыл бұрын
Wow you are so good at teaching math , Loved your voice and presentation skill
@matheds50437 жыл бұрын
Congratulations and thanks for your time producing such videos.
@sherryk11867 жыл бұрын
loving your new editing! thanks for these great videos
@kristakingmath7 жыл бұрын
Thanks Sherry!
@deborahfranza29257 жыл бұрын
THIS WAS SUCH AN CONCISE AND AMAZING EXPLANATION OFFICIALLY SUBSCRIBED
@kristakingmath7 жыл бұрын
Glad you liked it! :) Thanks for subscribing. 😊
@calebdodd8381 Жыл бұрын
KRISTAAAAA....MMWAH FOR THIS ONE..MUCH LOVE
@mcalioglu6 жыл бұрын
I actually do love all you videos for they are simple and basic and presented in a smooth step by step fashion... as in this one if I cannot follow them and find them logically false i cannot rely on them... and that makes me sad bec i love you ma'am...
@Ali-mi9up5 жыл бұрын
Well explained vids with good quality Keep it up !!
@kristakingmath5 жыл бұрын
Thanks, Muhammad! :)
@gfgarner13014 жыл бұрын
Sal Khan (who is a genius) had me going in circles with this. Thanks, Krista, for the clarity.
@ahmedwaleed60543 жыл бұрын
The last formula doesn’t count the value of the error on the linear approximation. It counts an approximation for the change in the function value. It’s specified as an approximation because it uses the linear formula of the tangent line to find the value of the change and the tangent line formula doesn’t represent the formula for the function and the graph.
@ricric47223 жыл бұрын
You're an actual hero!! 😭❤❤
@TheEathor7 жыл бұрын
Thank you, your explanations make everything so simple and are lovely too!
@kristakingmath7 жыл бұрын
Thanks. :)
@Jade-kd9ow4 жыл бұрын
thank you for explaining where the linear approx equation came from I got confused by khan
@kristakingmath4 жыл бұрын
You're welcome, Jade, I'm so glad this cleared things up! :)
@influential76933 жыл бұрын
Thank you so much mam for really u have changed my life in many ways 🙏
@de-grafthazard90814 жыл бұрын
I love you Krista😭. Thank you so much
@kristakingmath4 жыл бұрын
You're so welcome, I'm so glad the videos are helping!
@musawalid6312 жыл бұрын
Excellent explanation 👍 Pleasure
@sudhar65163 жыл бұрын
Thank you!! This helped me very much!
@kristakingmath2 жыл бұрын
You're welcome, Sudha! So glad it helped!
@Billups7Iniesta8C74 жыл бұрын
I usually don't comment on videos, but for this one, I had to! Brilliant Job!
@kristakingmath4 жыл бұрын
Thank you so much, Mr Gill! :D
@wealthyboyrr54104 жыл бұрын
fantabulous, excellent, simply super, wow... love u r teaching...
@henrydang57127 жыл бұрын
This is so easy to understand. Thank you
@kristakingmath7 жыл бұрын
You're welcome, I'm glad you liked it!
@kambridgecentre38724 жыл бұрын
please keep it up.its helpful
@hibakhatri30764 жыл бұрын
this video is AMAZING thank you soooo much for the brilliant video, I really appreciate the effort.
@kristakingmath4 жыл бұрын
You're welcome, I'm so glad it helped! :D
@its703 Жыл бұрын
By the way your lecture was stunning...
@astha1926 жыл бұрын
Greatly appreciate the efforts!!
@mehlikazeyneparslan34935 жыл бұрын
this was sooo helpful! you are a gem
@kristakingmath5 жыл бұрын
Thanks, Mehlika, I'm so glad it helped! :D
@Ridgerunner22707 жыл бұрын
Great video like always! Request, could you do a video on liner combinations?
@kristakingmath7 жыл бұрын
like this? :) kzbin.info/www/bejne/f2mspp9mhNJgqpY
@marksami76187 жыл бұрын
perfect... just perfect
@rockyavg72127 жыл бұрын
You have earned my loud applause 👏🏼
@kristakingmath7 жыл бұрын
Aww thanks! :)
@harishakthikarthikchokkana48644 жыл бұрын
Thank u so much for this lesson
@kristakingmath4 жыл бұрын
You're welcome, Hari! :)
@anuragjain44746 жыл бұрын
Hi Krista, just saw your tutorial. It's amazing. The creative way by which you were passing over this information is fantastic. But I have certain problems with your notations, don't you think linear approximation is more precise word you should use instead of linear interpolation as by interpolation we mean to find approximate function in a given range when we have information about function in that range. You aren't really using any range here, you are using information at a point to find information on another point. Second point is when you calculated error, how can that be an error?
@billygraham55893 жыл бұрын
Good, but I don't get the "error" part. How can you come up with an error factor when you are using an equation to calculate the error which was a (linear) estimate for which we don't really know the error? As I see it, the only way to determine the "error" is to use a calculator an determine the actual value of f(x) at the "difficult to calculate" point. And if I could do that why do a "linear approximation?"
@madhavanand7566 жыл бұрын
This is wonderful
@kristakingmath5 жыл бұрын
Thanks, Madhav! :D
@rocketkinger25067 жыл бұрын
love the video quality
@programinggrid9674 жыл бұрын
This video was very helpfull to me
@kristakingmath4 жыл бұрын
I'm so glad it helped! :)
@deveneb84095 жыл бұрын
so basically if you dont have a calculator then its useful?
@ResearchandThink7 жыл бұрын
Great video!
@sagargurung86827 жыл бұрын
Please do some videos on PROBABILITY...
@clairieberry95583 жыл бұрын
Thank you so much!
@kristakingmath3 жыл бұрын
You're welcome, Clairie! :)
@karansaini3057 жыл бұрын
excellent technique to teach
@kristakingmath7 жыл бұрын
:D
@rbjassoc65 жыл бұрын
Love the video but I am missing the jump from understanding why pi/3 is close to 1.05 ??? ( 5:41 ) how do I know that ??
hello dear ms. krista king, in this video what you call an error and what you calculate for error is not the exact difference between the real value of f(1.05) and the approximated number found for f(1.05)... are we clear about this ma'am...
@altheacastro55436 жыл бұрын
i love you krista,, i really do
@isaacmarzuca6803 жыл бұрын
Hey Krista, just wondering if you could please explain how you got "1/8" when doing (1/2)16^-1/2. I tried putting it into calculators numerous times but I can't figure out how you solved it.
@DanT-iu6oc5 жыл бұрын
KK, you explained this better in 9 minutes than a 200 dollar textbook and a college professor paid 200k/year at my local college. You are living proof that math education needs to modernize itself. James Stewart's textbook is damn garbage.
@kristakingmath5 жыл бұрын
I'm just happy to help! :)
@ashw7307 жыл бұрын
Thank s for the video. I dont understand the cos(x). Can you pls simplify cos x with y-y1=m(x-x1)
@betht8405 жыл бұрын
f(1.05)-f(1.0467)=f'(1.0467)(1.05-1.0467) Where ... 1.0467 is 'pi/3' and f'(1.0467) is 'm'
@aminmoafi5148 Жыл бұрын
🙌 bravo!
@prestonsso124 жыл бұрын
WOW, i have your udemy courses, i didn't know you were on youtube as well. nice
@huntingtonco83792 жыл бұрын
Thank you
@AlexDonnett7 жыл бұрын
I got a B in calculus last semester when I thought for sure I would get a C. THANKS
@kristakingmath7 жыл бұрын
That's awesome! Congrats!
@happybird26213 жыл бұрын
Thank you very much
@kristakingmath2 жыл бұрын
You're very welcome! :D
@bishalpoudel4817 жыл бұрын
hey kristia can u please make videos related to simplex method...
@xiaoyuhu74466 жыл бұрын
Great sense ! BTW Whats the BGM? xD
@H0peAnL0ve3 жыл бұрын
thank you so much, my textbook was making no sense
@kristakingmath2 жыл бұрын
I'm so glad this helped clarify! :D
@abdelz16174 жыл бұрын
very helpful
@kristakingmath3 жыл бұрын
Glad to hear that, Abdel! :)
@its703 Жыл бұрын
But we can find this by using a calculator... Then why is this method useful?
@all_mesa_man9224 жыл бұрын
Oh it's you again! I was like "man why can't my Calc professor just hire this person?" I also said that in the first of your videos I ever watched. I just didn't recognize your voice this time! Thank you for taking the time to help us. I am taking entry level advanced math for the first time in life at nearly 30 years old and it's kicking my ass up and down the street. Thanks Krista!!! I might actually pass Applied Ordinary Differential Equations when I have to take it in 2 years!!
@kristakingmath4 жыл бұрын
You will _absolutely_ pass ODEs, you've got this! I hope I can help all along the way! :D
@hg2.7 жыл бұрын
Hi Krista, this presentation style too fast - it glosses over one of your strongest teaching talents, which is your narrative attention to detail as you are writing the material down - that way your excellent spoken narrative is "in synch" with the formulas as they are being written down.
@hg2.7 жыл бұрын
This makes me appreciate the literally 100s of videos you've made in the "Classic Krista style".
@hg2.7 жыл бұрын
+hettygreene ... and sorry, but the background music is just simply distracting.
@kristakingmath7 жыл бұрын
Thanks for the feedback! As I'm sure you've noticed, I've been trying tall different kinds of things for fun. :)
@antruong15756 жыл бұрын
love her voice :))
@biswajitbaruah89744 жыл бұрын
Your thumbnail posses are out of world 🤣😂
@IntensePeppers6 жыл бұрын
First video I've ever seen of yours, nice job. But you look like a prison inmate in the thumbnail haha
@kristakingmath5 жыл бұрын
😂
@marksami76187 жыл бұрын
perfect.....
@sriramsaikrishna18744 жыл бұрын
Super 😍
@astha1926 жыл бұрын
Nd ... excellent voice!!
@noahgsolomon Жыл бұрын
Goat
@arj123sub11 ай бұрын
Awesome
@juraijbinjamal53136 жыл бұрын
Was that background music necessary?!!!
@oppongedmond79185 жыл бұрын
Good! But too fast for a slow learner like me
@CesarAHaro6 жыл бұрын
The music didn't let me focus
@marksami76187 жыл бұрын
👌👌👌👌👌👌👌
@ClumpypooCP7 жыл бұрын
interesting
@johnstillman29356 жыл бұрын
would have been better without distracting music !
@mettataurr4 жыл бұрын
i love you
@sarahyummers3 жыл бұрын
Has anyone else noticed that the background music sounds like Animal Crossing music? XD
@susienajaryan90063 жыл бұрын
@1:27 because we can get the better answer quicker with a calculator lol
@_DD_157 жыл бұрын
4:53 don't do this pleaseeee :( what about the derivative definition and all the crap. The limit has to be finite and the function continuous. we want precision :)