My Little Pony Friendship is Magic part 18: We Don't Need No Stinkin Hiatus

[Golden Dragon]

time for this dragon to retire to his cave
g'nite everypony

[Dontrike]

Leonardo DiCaprio is going to produce the Captain Planet movie. Let's hope Captain Planet doesn't eat raw meat.

[isi]

[Dontrike]

[IMG]http://i2.kym-cdn.com/photos/images/newsfeed/000/310/062/291.png[/IG]

Yozzers Isi. How are you?

[isi]

Yozzers Isi. How are you?

[Dontrike]

[IMG]https://images.rockymountainatvmc.com/images/prod/275/i/itp_12_tir_meg_may-fro.jpg[/IG]

You are rubber?

[isi]

You are rubber?

... ... *whacks with newspaper roll* that's a tire! a tire! get it!? because tired!

[BloodyAngel12]

[Chrysia]

I'm struggling to understand the relationship between Limits and Derivatives

I know there's one there

But they keep using this equation and I can't quite dial down on it

Limit as H -> 0 of F(a) = F(a+h) - F(a) / h

Which is apparently the same as the Limit as X -> A of F(a) = F(x) - F(a) / x - a

I understand the second one a lot more. That's just Delta Y over Delta X. Y1 - Y2 / X1 - X2. Slope. I get it.

But that first one I don't.

And if I am given an equation, and told to find the limit of the equation as X approaches a number, I could just find the derivative of the equation and plug the limit number into that, rather than going through convoluted factoring and trig identities to avoid the dreaded 0/0 answer?

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So here I was, perusing an article on the differences between Arccos and Cos^-1 because it's confusing the crap out of me, and my eyes wander a little and off to the side there's a link to an article entitled "Farming after the Apocalypse: Chickens or Giant Cockroaches?"

What a fascinating site

All right, the reason this works is because of how a function works as it approaches an undefined point. The derivative is the slope of the tangent line at any given point on the function, right? So it's waaaaaaaaaay easier to find the limit as x -> A rather than as h -> 0, just because of the way math works when you play around with 0 in these cases.

[Freyera]

All right, the reason this works is because of how a function works as it approaches an undefined point. The derivative is the slope of the tangent line at any given point on the function, right? So it's waaaaaaaaaay easier to find the limit as x -> A rather than as h -> 0, just because of the way math works when you play around with 0 in these cases.

So I just need to keep track of the H one for now and it'll become clearer later.

For now, use the second one

Got it

[Dontrike]

... ... *whacks with newspaper roll* that's a tire! a tire! get it!? because tired!

So you're circular?

[Chrysia]

So I just need to keep track of the H one for now and it'll become clearer later.

For now, use the second one

Got it

Moooore or less. The limit as x -> a is the same as the limit as h -> 0 because of the relationship between a function and the tangent line.

[Freyera]

Moooore or less. The limit as x -> a is the same as the limit as h -> 0 because of the relationship between a function and the tangent line.

Sounds like fun on a bun

I don't even know where I'm going next after Derivatives and Limits. I've been stuck here for weeks, but I'm in the last 30 some odd videos / final 6 sections.

[BloodyAngel12]

Sounds like fun on a bun

I don't even know where I'm going next after Derivatives and Limits. I've been stuck here for weeks, but I'm in the last 30 some odd videos / final 6 sections.

Quantum Mechanics

[Freyera]

Quantum Mechanics

I don't think this is the next logical step after Calculus 1... if this is even Calculus 1. It might just be Pre Calc

[BloodyAngel12]

I don't think this is the next logical step after Calculus 1... if this is even Calculus 1. It might just be Pre Calc

Computational Mathematics

[Freyera]

Computational Mathematics

I don't even know what that means

[BloodyAngel12]

I don't even know what that means

Ask Chry :P

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[Freyera]

That's a pretty good horse there

[BloodyAngel12]

That's a pretty good horse there