Basic Differentiation

[pinkfluffyecstacy]

THANKS.

[flightsnhike226]

crickey maytee, nice video!

[dolliehsr91]

ok pot the graph:}



[was2911]

1 whole week of not understanding what the hell this differentiation shit is about in class and then I finally get it here! Thank You

[RShahProductions]

This is what my teacher is teaching us but I am so confused!!

y = (-3)(x^-4) DOES NOT = 12(x^-5) !!!!!!!!

What am I missing here?

[RShahProductions]

@RShahProductions Wait, I took a second and I think I've just got it.

Let's say we are given the equation to a curve. At any point, a tangent can be taken and so we must differentiate that expression to find an expression for the tangent. We can then use that derivative to find the gradient at that point and then a y interception for that tangent, so we can form a y = mx+ c gradient for that tangent.

[RShahProductions]

@RShahProductions Did I get that right?? Because surely if like we differentiated the equation in my first comment, that's saying 12(x^5) applies to all tangents taken from the curve (-3)(x^-4) ?

I'm slightly more confused now.

[RShahProductions]

I meant form a y = mx + c equation* in my second comment

[adilmoghul]

excuse me, how did you get that B is 2?

[MuzeTV]

COZZZZZZ

[jjsj93]

I like the song at the end. And thanks for an easy and comprehendable explanation. It really helped. :)

[gunitinug]

what device did you use to write?

[Melee2Kil]

Can you help?

If f(x)=-x²-2x(cubed), find a value for f '(-2)

I'm pretty good at derivatives, so could please just tell me where to get started thanks. O and if f(x) is the derivative, F(x) the antiderivative, what is f '(x)

Thanks great video btw.

[skidogallard]

@J170Owner Nope, its -5. However if you were doing -4+1 it would be -3.

[skidogallard]

You taught me differentiation! Thanks so much!

[Jamesey162]

@J170Owner that would be the case if it where -4+1 but the negatives don't cancel each other out because they aren't beside each other like (4--1)

[hdmandude244]

yay..ur an aussie!!

[FluxXxray]

Ha.. and here i thought differentiation was tough..

[NebRevel]

Great tutorial, thank you so much!

[casp3rization]

i skipped my class today and sitting at starbucks watching this tutorial for fucking math exam tomorrow

[lazer1235]

@casp3rization lmao howd it go

[TsukiYudai]

btw anything divided by zero is not zero...its infinity...because 0 goes into 10 an infinate amount of times...XD

btw i suk at maths

[TafHunter]

He's fucking genius.

[TheEurekaBoy]

imma gonna rape the exam tomorw <3 , all thanks to u mate :D

[angryrantingguy]

seriously man, thank you.

[pjtechy]

best all in one videoooo ..... thxxxxxxxxxxxxxxxxxxxxxxxx

[Narvatar]

7:30 what about values under 0? I'm assuming that's an error for x =/= 0.

[magicalknight30]

THANK YOU SIR.

[RobSchneeberger]

i think it is weird that you draw your x for multiplication different than your x used for variables

[rickyf6]

@RobSchneeberger that is how it is meant to be done.

[lokimus]

This was amazing. You actually EXPLAINED IT. Love this.

[joshgd1]

Whoa thanks It clear and i understand it better now :)

[anwerosama]

thanks dude!!!!! I was reallt confuse in this chapter...as i missd my first class to it ;)...bt thanks 2 u...i have learned the basics :)

[MEGIDIOT]

Not explained thoroughly, step-by-step. It didnt really help

[NaapjusuN]

Saved my life! :D

[alex3330606]

how would you do (x-1/x+1)4 ??

[arivaran]

Thanks Bro!! This explanation helped me a lot!!!

[therealfactor]

Ha ha. Did he just call cosines "cozzes" ?

[mo133jj]

LOL, This makes me wanna quit college and just learn from here... awesome and very helpful video dude!!!

[qasimali24]

THNAKS DUDEEEE !!!

[petermilko]

$5  he has a cup of tea

[ladyb90luvme]

I love you!!!!

[Vuyisani]

7:25 what about x < 0

e.g. x = -5

[multu100]

@Vuyisani Is there Natural Logarithm of Negative numbers?

[SasanSB12]

Oh my god...LOL I <3 you hahaha, have a college entrance exam next week...and this helped me TONS...going to check out the rest of your vids too ^_^

[IdiosyncraticChild]

Man, I officially am in love with you! <3

[zeirasat]

what the difference between y power of one and just y?

[toozydude2]

@zeirasat Its not y to the power 1, its y "dash" to show its the derivative of y.

[Senb0nzakura128]

thanks very much! ^^

[yask124]

thanx man!..really great help.. :)

[PR31D]

Cheers! Big help!

[nkwosman]

One word: Excellent

[Mike01010011]

Excellent. Thanks.

[fonzi0was0cool]

hi mate

when you say derive, do you mean differentiate ? i.e are they the same thing ?

where are you other videos on this ?

[mathmatevideos]

@fonzi0was0cool: I've seen both used. However, "derive" is also used to describe other things so if you want to definitely have no possible confusion differentiate might be better.

[Mangi132]

@mathmatevideos I guess "deriving", in conext would mean deriving the slope of the line ( or even the curve) at an particular point....

[tabishkafili]

@mathmatevideos Thanks Dude You make it very easy for I've open my book after more then 3 and half years and I'd Escaped, You remind me all the things thanks bro!!!!

[therealfactor]

@fonzi0was0cool They are synonymic in my calculus book. If you are told to derive f(x), you would find the derivative. If you are told to find the differential of f(x), you would find the derivative, dy/dx= f'(x), and multiply the dx into it, so dy=f'(x)dx. You do this for word problems and it's also used in integration.

[lordarnon]

Nicely done.

[zsozsokel]

Well it starts funny. Why would that graph by y= 10x^2?? :D 10x^2 is a qudratic function. why would it look like that?

[zsozsokel]

I dont think its a good approach, to confuse the viewer in the 20th second, who is trying to learn calculus. He learned that 10x^2 is a narrow, parabola, and you draw a function 2^x -1 and label it 10x^2... great.

[Gangstaq8]

Because he just drew the Positive Values and not the Negative ( If thats what was confusing you ) .

[zsozsokel]

i know he did, he didnt confuse me for a second. But its not legit, to draw a part of the function and label it as the whole function... its not correct. OR what else you can do is that you say 10x^2 on R+ yes, then it is correct

[yamahabibi]

Thank You, Excellent Explanation.

Please upload more videos. This is really helps many students.

10 out of 10

[ROSS3TT1]

Thank you! :)

[dirttrackterror]

I thought it was a good way to teach it.

It's just an explanation of how to execute the problems, it's not intended to give you a complete understanding of calculus or proofs.

[XTproduction]

Why not teach differentiation by first principles? This way whoever is learning from this would understand how it works. Then give them the formula:

y = x^n

y' = nx^n-1

[Nile505]

thank you! That was great..and why are people down thumbing this guy. He's not here to prove this, he is here to show us examples and explain how to do this. This would be suplimental to your in class lectures.

[chocolatecookie77]

thanx honey, luved it

[muzair9253145]

thanks man! it was really very helpful!!

[thwackspongbelm]

Thank You!

[tzvikey]

I am having major problems in class and this was very helpful. Thanks so much

[crazyloon202]

Sorry but that doesn't help at all - yet another explanation on HOW to do something rather than WHY. Any monkey can plug numbers into a formula.

However, could you please tell us WHERE exactly you picked this formula up from? Prove it perhaps? Why does the formula tell the gradient?

[angrygunsmith]

a lil two simple, product rukles etc were not mentioned.

[smartguymus]

b or n dont matter its just an example..

[procstr2]

why he used y =axpower of b

[StavrosSmash]

Spot on mate. This was a big help. Thanks.