Using Differentials

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In this video, I show the basic idea of differentials and show how they can be used to approximate values.
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i AM the organization : )

just math tutoring, patrickjmt, president CEO

yes, i have spent hundreds and hundreds of hours making these videos; when people make a donation, it goes straight to me. i take it as a huge compliment, as in this day and age, who actually pays when u can just get it for free?! : )

patrickjmt
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@1337Bigman no, if you use a different number, you will get a different approximation cause you will get a different tangent line to use as an approximation

patrickjmt
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My final is tomorrow, and I have done nothing but study your videos, my friend. You have helped me to not only pass this course, but to truly understand the material. Thanks for a great year in calculus, Patrick.

Bigdaddytoothemax
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I tried to understand this from a MIT professor, But you did a hell of better job !

rafaeladel
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I unfortunately slept through the calculus lecture when my class learned this information. This video saved me! Thanks!

ToaPohatuNuva
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hey patrickJMT, you're a lifesaver. It's 2:20 in the morning and I was studying for a test and I had no idea how to work it. Then, I watched this video and now it makes worlds of sense! Again, THANKS!

Hotdogbunker
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Your the best teacher in the world; special thanks from Portugal.

cesfigas
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Patrick you are a very talented math professor, I feel fortunate to be able to watch your videos. Thank you.

darien
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Your videos are really great! I watched many videos during my calc. class and right now to review for our final. Thank's for making these great lessons. :)

Also I just realized you are left handed after watching so many videos, and I watched about 10 already, lol

alienmoondudes
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this is also why my videos are now appearing in HD - youtube started allowing this so i took the donations that i had to get a better camera! so partly, it just goes back to the viewers anyways!

patrickjmt
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(32/16) + (1/16) in the last step brotha :)

alitheSRWchamp
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Thank you so much! My teacher said we are not really having a lesson on this section in class tomorrow but rather working through it on our own, so thanks for being the substitute lesson!

tannermathy
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My final is in 5 hours and you my friend have saved my life once again on another test. Bless your soul!

jravila
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thankss patrick you've helped me through most of calc 2 and 3. you're superman in the math world

yucky
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thank you veyr much I was sick and missed a lot of differentials but now I think i understand

Mietchannel
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agh, thanks so much// Everyone was so tired in math yesterday and we have a quiz tomorrow and I had no idea what she was going on about anymore, so thank you

moreor_less
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@CollegeboundGaming i think that is a perfect way to use these, glad it is helping a bit :)

patrickjmt
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i would love to see more linear approximation examples!

TRUNKER
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Had to watch the video twice, but I get it now. Pretty neat!

Physicsandmaths
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Every time you make a mistake and cover it with annotations, an angel gets its wings.

bane