Understand Calculus In 10 Minutes – Part 2 Derivatives and Rate of Change

Understand Calculus to include derivatives and rate of change. This video will cover a basic calculus problem using the first derivatives.

[louisd]

Even though I never took Calculus, I find this video to be very clear and understandable. That says a lot about this teacher!

[haroldjackson]

These videos are refreshers for me. I had 16 hours of calculus and differential equations 50 years ago. We were taught the mechanics of calculus until differential equations and I saw the power of the subject. I went into highway and traffic engineering and never used it. We had formulas to use for everything. You are teaching a use instead of the mechanics and I understand it better now than I did then.

[cabel]

I really enjoyed this Video for beginning Calc. Later on, a more difficult problem will be that in reality when you are using a simple drain the flow rate is not a constant. The flow rate is dependant on the water pressure at the bottom of the tank, so as the water height drops the flow rate will also drop. And assuming the same starting water volume in both tanks, the pressure will be greater at the bottom of the tall, skinny tank. This will cause an even bigger difference in dh/dt between the two tanks.

[solarsnap]

Loved the video. Really like real world problems. Learning calculus on my own. Thanks!

[caryjackson]

It would help if you stop over explaining.

[StelznerGaming]

Instructions unclear, my floor is flooded now. On a real note though, thanks for these videos! Very informative yet digestible.

[davidwalters]

Thanks very much for this. I just watch your videos because I enjoy mathematics and they refresh my knowledge gained from my long distant school days

[jmford]

Great video! Good for gueezers too who are trying to stay young in mindd. Thanks much.

[andycocchia]

Just watched part 1. You’re at like 6-7 million lol

Definitely helped break it down. I’m in my early 30s, decided it’s time for a career change. Gonna need to learn this so here I am.

[someonesilence]

I'm just interested in it, I used to barley understand basic geometry and never heard of algebra, now I think that this calculus stuff ins't that difficult and I have learned about algebra.

[dragonslayer]

I'm a sophomore in high-school and thought it would be fun to learn some calculus as I want to be in aerospace engineering. Your videos are very comprehensive and I enjoy learning.

[proterotype]

Thanks for posting these videos. I’m using them to prep for a coding boot camp. I appreciate the help.

[martinwalker]

How do you figure out the change of rate if the flow is by gravity rather than by a pump?
I have tried to brute force an acceleration problem of a theoretical spaceship leaving earth at a constant thrust. The acceleration changes as the square of the distance to the center of the earth and the distance changes as the square of the time AND the acceleration.
Distance = .5 acceleration * time squared. At 1.5 g for 30 minutes at which point thrust is reduced to 1 g. How far will you have traveled after 4 hours from takeoff.
At 1.5 g initial acceleration is ~ 16.1 ft/sec/sec. At 1000 miles acceleration =~28 ft/sec/sec. At what point does acceleration stabilize at ~48.3 ft/sec/sec?

[StudywithmeinPakistan]

Incredible and relatable example of real world. Watching from Pakistan.

[jibranmalik]

Thank you John. I missed such clarity in teaching when I was young kid. Now going through these concepts one more time through your vdeos which i think are an excellent resource for math students

[marcfruchtman]

Hmm... so, shouldn't the negative symbol be removed from the answer? I think the premise of the original question is very important: "How fast does the fluid level drop".
Specifically, we are NOT asking "What is the fluid level with respect to volume of flow?"
In other words, because the original question specifically uses the word "Drop", it already implies a negative.
For example, if I say... A ball is dropped from 100' high, how fast does it drop after 1 second... the answer is NOT a negative number.
So, shouldn't the negative sign be removed from the answer?

[DuaneBogan-ey]

Thank you Professor, I agree Calculus is amazing, and the thigs it can accomplish, I'm just starting out with it, but like it, altugh I'm not very good at it, yet?

[American_Made]

I took calc 1 twice. I bombed on teh related rates test and ruined my grade each time. never got past it. I did learn more about integrals, I was totally not getting them but your video #1 helped me undertand them a little more. This is the hardest part of calc 1., related rates. I"m 53, wish I would of stuck with it. I got drawn out of school years ago with a good tech job offer. I hate computer work now, ie repairing networks servers, dektops, and wish I would have stck with it. My son is good at math and his brother is in columbia now taking calc 3 this semester. I would love to finish my degree in engineering. I works on pool cues now doing machine work, cnc.

[SuperBrainStorms]

Hi Teacher,
You taught me calculus in two videos. Thank you so much. All the fear of calculus are gone. Thank you very much. I’m going to continue watching your videos and following your advices ❤

[IqbalTareen]

It is confusing a bit because your name is John Zimmerman but the link to your recommended the book is authored by W. Michael Kelley. Could you please provide a clarity.