Calculus - Average rate of change of a function

[tangolobo]

Finally, an explanation that makes sense.  I looked over sooo many videos that couldn't quite hit it on the nail as to what the difference quotient was!

[staystudious]

You are simply the best. I have recommended this channel to all my friends because you are so good.

[besverjin]

Omg. When he labeled x1 I was like “oh so that’s what x1 is, and then x2”. Why is it just now clicking. I’ve never seen it written that way on the number line. It’s like showing or writing what you’re “given”. Excellent visual!❤

[jakeplant]

man if I ever meet you, ALL BEERS on me. GRATITUDE!!!

[KevinSmall]

Excellent Video...so concise and easy to understand

[BlackRobinBird]

Simple and straight to the point, thank you! 

[TheProjekton]

So, f(x1+h) - f(x1) simply means that you are returning the value of the function at the position of x1+h minus the value at the position of x1. Returning the values gives you their Y, and you simply use (finalvelocity - initialvelocity) in a sense to get the distance between both Y positions. Then you divide that by the distance between x1 and x1+h, or simply h, and you have your answer.

Never done calculus before; however, my experience in programming seems to be helping me conceptualize the process.

[anastasiaanautodidact]

Excellent! Especially for having enough intuition

[samost]

Omg it all makes sense now, keep up the great vids

[Augustheatsucks]

so we dont get to see a practice problem ?

[prettyangel]

Thank you very much sir.. Helped a lot.. God bless u

[blessingsjoelssen]

This is beautiful... I'm new here, I think I'll camp out

[milacay]

Really helpful, must better than my math teacher explaining.... Thanks!

[elnica]

Hi there, can we say that "h" is the displacement?

[jonathanbell]

Can you use this method to analyze and predict random events?

[LKJZXCLee]

the text book didnt specify where the h come from! thankss alot, your video helped my

[anon]

Question: why are u curious to find the slope?

[mdraisulislam]

Thank you so much sir. It helps me a lot.

[BritishEngineer]

5:31 funniest sounding refridgeration thermostat

[GangGang-qkse]

what is a function im trying to learn calculus because I want to get a better understanding of alternating current equations and graphic calculations before highschool