Why Derivatives are Awesome | Quick Calculus 2 of 6 | Doc Physics

[@dejand9]

Beautiful! Clear and simple enough for me to get it after 10 long years of confusion. THANK YOU MUCH!!!

[@YussefMH]

Hey man you are my super hero! you've explained the concepts of Calculus I to me yet my college professors couldn't! You have my respect Sir!

[@patrickrosborough7634]

Awesome video set! EVERYONE taking calculus or physics MUST watch these videos! They won't take much of your time at all, BUT THEY WILL save you tons of time working problems! Talk about a great return on investment!!!!!! Great job and THANK YOU SO MUCH FOR YOUR TIME AND EFFORT DOC!!!!!!

[@rocktoter]

What a great intro to calculus. Thanks.

[@georgeh1352]

You have made it so easy to understand calculas with this graph approach. I am a senior aged student that has had difficulties in understanding this subject. I think teachers should use your lectures to introduce the subject foremost.

[@baobabmusics]

Fantastically good videos that I will be sharing with others! Really well done.

[@imagination7710]

These videos are great really

[@ericsmidt6923]

You just earned a sub

[@harlbertmayerh7523]

I like the learning part of this video

[@vijayalakshmiramkumar2161]

Marvelous. To this day no teacher of mine showed me the pattern that brings out the derivative of x square = 2 x .....I always ask myself why. I ask myself why is it 2x. Now that i see the pattern of the slope . May be i am not sharp. But I have understood this today. Thanks a tonne.

[@charlesmiller90]

awesome video man!

[@TanerNilluhktaf]

I am a bit confused. You said 'Let's pretend we don't know physics', and then you write formula for distance and differentiate it. But where that formula came in the first place? It should be derived from other fundamental ideas. Somewhere among open source videos from some university, I saw how it is derived using calculus. Yale or smth..

[@camilarodriguez9453]

Please! Your videos are so great, sir. Make more zoom! 😍

[@Flerovium]

I get you like throwing animals, hehe! Great videos though :) Self-teached programmer without any university degree here trying to keep his math skills fresh :)

[@mildlyfrustrated8001]

Snap crackle and pop... I like cereal mascots

[@teronchapman6326]

Let me tell you when I guessed pop after crackle I felt like a genius 😂

[@substitute101]

or you could use the analogies of dimensions. like 3d objects, they are complicated. a sphere, its so complex you don't understand it. well make it simpler, what do you see? what YOU see is a 2d world! a circle. so a circle is a derivative of a sphere. and a 'hypercube aka 4 dimensions' is an intergral of a 3d cube.

[@NinuRenee]

yeah you could've, but this is _Doc Physics_ not _Doc Maths_

[@rossalleh9504]

interested

[@A591m]

Wish I'd found these videos before my exam yesterday T.T I would have had a way easier time

[@kevalexkill]

at 6:10ish, if y=x, and the equation is dy/dx, then wouldn't the answer be 1? not x? no comprehendo!

[@cristian7348]

how does differentiating 3x^3 get you 9x^2

[@AlchemistOfNirnroot]

+Cristian Presutto f(x)=3x^3, f'(x)=Cnx^n-1 C is the coefficient of x (3), n is the power (3) and n-1 is 3-1=2 Therefore it is 3*3x^3-1 = 9x^2 Coefficient is the number in front of x.

[@harlbertmayerh7523]

You should join numberphile!! 😀

[@SamuelStormTheNoble]

5:12 I can simply not forgive you jk ;) thx man for ur awesome vids keep it up

[@brahmoliver9532]

Sounds like Benson from Regular Show.

[@judgenap]

Thanks again. Anti derivative . Finally discover why C occurs!!!!

[@judgenap]

Thanks this is great. just an idea if you use a graphing cal it can make is easier to see. try desmos.com

[@ManticoreRO]

Why a platypus... a rock would be better :). Poor platypus

[@BESTFORYOU321]

What the heck are you talking about!

[@substitute101]

BULLSHIT, YOU DIDN'T ANSWER YOUR (OUR) OWN QUESTION: WTF ARE DERIVATIVES AND WHO CARES? at least attempt to explain in terms we all can relate to like.... derivatives are mathematical ways to simplify a problem LIKE if a girl dumps you, you can 'simplify' the problem and get the derivative to be ... 'you smell'. or some analogies like that. of course intergral, no the opposite , the problem is 'you smell' and the intergral? well theres infinite ways how you smelling might affect the world, like girls dumping you, or you taking a shower... aka losing information when you take intergrals... am i right? am i right?

[@DocSchuster]

substitute101 Ha! I would say that derivatives are needed to help us predict what is about to happen based on what has been happening. Particularly if the recent past has been...interesting.

[@freddy7phil]

Doc Schuster A good example is a PID-controlled line follower. The derivative function calculates the change between the current and the past position of the robot with respect to the line. So the robot can predict if it is approaching a big curve in the line and change the trajectory based on that.

[@AlchemistOfNirnroot]

+Doc Schuster I'd just say a derivative is to represent rate of change. BTW will you/have you done differential equation like dN/dt=-kN or Newton's law of cooling?