Calculus 3: Partial Derivative (3 of 50) Understanding What is a Partial Derivative: Example 1

In this video I will explain partial derivatives by giving an example of what happen to a volume of a circular cone when taking a partial derivatives with-respect-to the radius and height.

Next video in the series can be seen at:

[valeriereid]

Thanks so very much for another excellent lecture.

[jacktrooper]

beautifully explained with relevant examples, learning maths again

[michaelanthonyabenales]

very easy to understand! Thank you so much sir!

[abdallahshehata]

I want to thank you in advance for the great work you do and i'v a question acording to the min 3:30 when i increase R by 0.1 and recalculate the partial derivative equation (2/3 * pi * 2.1 * 5) the result should be (21.99) then the change in the volume will be (21.99 - 20.94 = 1.05) not 2.09, so is there a misunderstanding from me or it should be like this?, Thanks again

[menray]

I want to thank you in advance for the great work you do

[willFALL]

Quick question, how come in Calculus 1 when taking the derivative of the volume with respect to R it would be 2r times dr. and vice versa with respect to H times dh.

[AndriusKamarauskas]

your video is wrong and should be deleted or corrected.
While you are correct in making partial derivatives your volumetric assumption are wrong.
3:46 if this method of calculating volume is more accurate why don't use V = (pi*2*r)/3 in the first place?
Answer in 2:49 is correct because 2^2 is the same as 2*2 but this difference would be more apparent if you tried r= 2.1 and 2.2 for all calculations

[jacktrooper]

beautifully explained with relevant examples, learning maths again