Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007

Lecture 01: Derivatives, slope, velocity, rate of change

*Note: this video was revised, raising the audio levels.

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[Razvvannn]

I love the sound of chalk on the blackboard in the morning.

[Astamalana]

i don't understand people QQ'ing about the blackboard. Math on powerpoint ? really ? lol

Never seen that. Math is a science where you need to be able, at any time, to demonstrate any calculus you make. I don't see that happening on a power point.

Beside, doing the demonstration forces you to explain it, which is better for understanding.

[roofrepairhq]

Have no idea of when you know - you are typically widely recognized !

[LanRous]

@qwqerty12345

I meant (>)

This was just an example.I wanted to ask if it was possible to differentiate

things like f(x)>g(x) and have still the >

But after some thinking i understanded that this canNOT happen no way because the fact that f(x) > g(x) for every real x means that the graph of f(x) is higher from g(x) for every real x.But f derivative represents the slope of the tangent of f at x, giving us the monotony of f.Hope you understanded what i mean.Also thanks for the reply

[qwqerty12345]

@LanRous did u mean f(x) = x^2 + e?

[climbingLynx]

@LanRous not for all f(x)! for example is not true for f(x)=x^2+e+2+sin(x)

[1Deejay7]

I'm smart.

[hatfieldlainall]

Fabulous yt channel as well as interesting movie films ...

[TurboBusinessPro]

We are in work at this moment looking at your new video tutorials ...

[LanRous]

guys i have a question

if we have something like this one -->

f(x)>x^2 +e and this is true for every real x

Can i differentate this and say

First derivative of f (x) >= 2*x ?

Please i need help on this one