Fundemental theorem of Calculus intuition

[Cyberman]

Yeah, Banana Cake is good. Probably the most underrated blues guitarist of his generation.

[Alex K]

Someone writes something and I can't understand a word of it.
I think, ok, I'll just google it and find a dumbed down version.
Still can't understand. Ok, I'll try and find the basics and start there.
Still can't understand. Ok, I'll find the basics of the basics and start there.
Still can't understand.
That's when I realise, hey, I'm never going to be smart enough.
Emotionally, that hurts. I like to think of myself as a smart guy.
I'm not.
So it makes me feel a little bit better that I'm smart enough to realise that.
Which makes me not really dumb, at least.
Anyway, I love banana cake. :-)

I don't know, but if you've never had calculus, just winging a major aspect of it with a quick internet search seems like asking a bit much of your brain

[Little lunch]

Thanks.

[robvalue]

It's not that hard, I'm sure I could teach it to you if you wanted

[A Handmaid]

Someone writes something and I can't understand a word of it.
I think, ok, I'll just google it and find a dumbed down version.
Still can't understand. Ok, I'll try and find the basics and start there.
Still can't understand. Ok, I'll find the basics of the basics and start there.
Still can't understand.
That's when I realise, hey, I'm never going to be smart enough.
Emotionally, that hurts. I like to think of myself as a smart guy.
I'm not.
So it makes me feel a little bit better that I'm smart enough to realise that.
Which makes me not really dumb, at least.
Anyway, I love banana cake. :-)

Don't worry about it. Being smart makes you learn faster, yes, but it'll just take a little more time if you don't consider yourself smart.
if you want to learn Calculus or math in general, I heard khan academy's a good place to start.
Stay strong!

[Jesster]

It just occurred to me how long it has been since I've used calculus. This thread confused me more than it should have. I really need to get back on this since the kid I occasionally tutor will be getting into calculus soon enough. I don't want to look like an airhead to him when he passes me up.   I used to be so good at this.

[A Handmaid]

It just occurred to me how long it has been since I've used calculus. This thread confused me more than it should have. I really need to get back on this since the kid I occasionally tutor will be getting into calculus soon enough. I don't want to look like an airhead to him when he passes me up.   I used to be so good at this.

Well, when I forget something I usually go looking for a syllabus for that subject and look for the things I don't remember. It's really effective if you find a good list.

[LastPoet]

Someone writes something and I can't understand a word of it.
I think, ok, I'll just google it and find a dumbed down version.
Still can't understand. Ok, I'll try and find the basics and start there.
Still can't understand. Ok, I'll find the basics of the basics and start there.
Still can't understand.
That's when I realise, hey, I'm never going to be smart enough.
Emotionally, that hurts. I like to think of myself as a smart guy.
I'm not.
So it makes me feel a little bit better that I'm smart enough to realise that.
Which makes me not really dumb, at least.
Anyway, I love banana cake. :-)

I don't know, but if you've never had calculus, just winging a major aspect of it with a quick internet search seems like asking a bit much of your brain

On a quick question Alex, what you call "calculus" you mean Marhematical Analisys, or is that another thing?

[Alex K]

I don't know, but if you've never had calculus, just winging a major aspect of it with a quick internet search seems like asking a bit much of your brain

On a quick question Alex, what you call "calculus" you mean Marhematical Analisys, or is that another thing?

Yes, I think so. In German, we call it Analysis as well. My American senior AP Calculus class contained simplifying fractions, limits, derivatives, Integrals and volume integrals. Hence I always assumed that Calculus was synonymous with Analysis

[Jehanne]

I've always been curious why the fundamental theorem of calculus works, I'm talking about the one which talks about the derivative of an integral of a function gives the function itself. Why does this happen? Am I missing something completely obvious?

In other words, why does the slope of the tangent line of every point on an area function result in the original function?

While not entirely related to your question, here's a great video on the underlying theory:

http://www.dailymotion.com/video/x2vyuf8