Calculus 1: What is a Derivative? (7 of 9) How Fast Something is Changing - Example

In this video I will explain what is a derivative by giving an example of water draining out of an inverted cone.

Next video in the series can be seen at:

[ramakrishnareddy]

Excellent video...after 10 years i understoood exactly what is Derivative means...and when wil it wil be used...

[florentinosanchez]

You are the best teacher ever, thank you

[mathieubuisson]

hello professor, if we plug in a height difference of -0.1m, we get a volume difference which is -7.5m^3
the difference in volume should be smaller since we are working with a cone .. Does that mean we can only use derivative when change in x is very small or am I missing something else ?

[YourAverageHater]

How do find R in terms of h in general?

[chrismusix]

Does this equation not work when your starting height is zero?

[qwizats]

you mistaken in 4:55,
2.5pi is approximately = 7.85 m^3
and thank you for this videos you're helping me a lot.

[alishakhan]

How do you know that ∆h=0.1m from h =10