Derivative as a concept | Derivatives introduction | AP Calculus AB | Khan Academy

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Why we study differential calculus. Created by Sal Khan.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP lessons. Phillips Academy was one of the first schools to teach AP nearly 60 years ago.

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Our teachers teach us how to pass calculus exams, not calculus itself. Thank you.

fluffyrawan
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In India, we're taught to practise a million derivative calculus sums without knowing it's beauty or use, you have really opened my eyes to its practicality and concept. Thanks.
P.S - Think about partnering with Numberphile for a video please! <3

superawesomecaptainmcfluff
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I wish more teachers and professors would teach math like this with actually relating it to the graph rather than just going straight into how to calculate it. It would be so much easier to learn this then focus on the actual math of it. This makes way more sense than just starting directly with "find dy/dx of sin^2(12x)/tan(18x) or some seemingly-arbitrary crap like that. Thank you!

digit
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Within the first 3 minutes I understood more than the 3 months I've been studying in my college, you guys are doing God's work

omniscienceisdead
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saved my life on this one. teachers just kept throwing formulas and methods of finding derivatives without explaining what derivatives are themselves. thank you, saul

ceejay
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Khan I really got to thank you for the work youve done! Ive been out of high school for over three years, time i took off to travel and learn skills I was curious about and I have finally decided to attend university this september and I have calc and physics as a major part of the program that I got into and I had forgotten practically everything I learned in high school. I have spent the last two months doing about 7 hours of khan academy a day and for the first time in my life I absolutely love math and physics. Dont get me wrong i did well in highscool math etc... but I didnt understand a thing. I was schooled but I wasnt educated. Taught concepts with no effort in establishing intuition. All the courses that I enjoyed the most in highschool were english, history, social sciences etc.. as most of the learning in those classes is about intuition and critical thinking while all science and math courses were all blind applications. Thank you so much! I have learned more than just math and physics concepts from you but the right way to teach and to educate! So much love!!

theopenacademy
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I'm a master graduate in the faculty of architecture and I can say, it is by far the best explained differential concept lesson I have ever seen in my life !

uniqueh
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THIS IS THE KIND OF TEACHERS OUR WORLD NEEDS! teachers who are energetic, and have a depth of knowledge. it has been rightly said and holds true, " teachers who love to teach, teach children to love learning!"

ameesinghamazing
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This really helped me understand the true concept of derivatives, not just a bunch of formulas. Thank you so much!

randyshi
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Is it weird that I Have a slight crush on this man

zoombae
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Just failed my Math Content Praxis and have been feeling really depressed for three days over it. But this video just made me happy again! You really have to find the easiest way for you to engage with the material, for me it's just sitting back and watching Khan teach.

joedimon
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Thank you so much Khan Academy! You people are the best in convincing us the tough concepts easy way!

swarajrajpure
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I've never learned calculus in my life and now I'm a college senior in a machine learning class that DID NOT HAVE any math prerequites, and all the sudden the professor springs calculus on us like we're supposed to know it. Oof. This videos are saving me right now, haha. Thank you!

LoganSnyder
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Explained in a way that was easy to understand and very helpful for my exam, thank you so much!! I used KA back in middle school and at the time didn't realize how many videos there were over so many topics, now that I have this is going to be a great help for this college student!

ellastevens
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Dear Khan Academy!
Your videos have proved to be the most helpful!! Please post more videos on calculus now!

kartikeyekhanna
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I finally understood derivative after 3 MONTHS of studying it at class
You literally saved my life
Huge thanks 🙏

mohamedaminebaccar
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Thank you, it finally make me understand what is derivative. My teacher said the concept wasn't important so she only teach us how to do the exercise

Tom-sqnt
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thought he was playing Counter-strike BTW excellent tutorial, reminder

gouisedeau
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Khans academy is the best academy to learn mathematics... I always love to watch videos on Khan academy

fatimah.tulkubra
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Stuffed away since some time in a 1988 college class, brought out and clarified in 2022. Many thanks.

MichiganPeatMoss