Related Rates - Conical Tank, Ladder Angle & Shadow Problem, Circle & Sphere - Calculus

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This section is the hardest section in calculus 1. It's not really that hard after you know how to do it, but at the beginning it feels like rocket science.

I’m crying right now. It’s 6:30 am and I’ve been up since 2:30 because I couldn’t fall back asleep due to nerves from having a math test I don’t know two shits about. I’ve been watching your videos for the past hour and a half and I actually understand. For having slept 7 hours within the last 48 hours, thank you from a mentally and physically exhausted scatterbrained 17 year old. Seriously- thank you!

@06:35 origin and moving point on graph @11:08 radius of circle is decreasing. How fast is area and circumfuses changing given radius. @16:07 Surface area of a ball decreases at a rate. How fast is diameter changing given radius @19:46 side length of square increases at rate, how fats is area and perimeter changing given side length @23:20 balloon filled with gas at rate, how rate of raidus given radius @27:11 side length of cube increasing at rate, what is rate of surface area and volume given side length @31:11 ladder leaning against house. Slides down wall with rate @46:12 gravel is being dumped at a rate forming a concial pile whos base is 2x height . How fast is height changing given height. @54:48 water is leaking out conical tank at rate, given height and raidus

i can't believe you do chemistry, physics, and calc!!! is there anything you don't know? thank you so much you're a gpa saver!!!!!

you know that feeling when you find this the day before the exam and you wish you found it sooner?

Organic Chemistry Tutor deserves an award. His help with literally every subject is unmatched. Before you mention khan academy, they are incomparable.

This video alone is saving me. I mean, almost every single one of his videos are amazing, but related rates in particular is so difficult to wrap my mind around, and the fact that he included so many examples, is a blessing for real. My teacher only showed us 3 examples, which was really great, but then the homework had examples we hadn't covered yet, and there are so many ways these problems can be written, I'm so glad he went over all these different types. Sincerely, thank you so much.

1:19:05 The values of x and y should be switched. x = 120 miles and y = 90 miles since dx/dt = 40 mph (going east) and dy/dt = 30 mph (going north). This makes dz/dt = 50mph. Overall a really great video that helped me understand related rates a lot better. Thank you!

out of all the tactics i have tried, there's only one tactic that worked for me, and that tactic is YOU!!!!, you are so good!!!! at your work, thank you so much

me sitting down crying before starting this video with a calc test in 5 hours not ready for it

You gave me the highest grades in my chemistry class last semester, so I was tremendously excited to see that you do calculus as well.

I'm literally sitting in calc ignoring my shit teacher and watching this.

This section proved more difficult than anything else I had done up to this point in math. Really struggled with the concepts. But after about a week of obsessive studying and watching this video at least 3 times it is actually easy for me now! It’s crazy how once something clicks and makes sense it seems so simple that you wonder how you didn’t understand it from the beginning. Thanks as always for your content.

It's been a minute since I learned these early calculus concepts and it feels so good to understand this concept so easily now since it was a confusing nightmare when I first learned it lol. As always, OCT deserves a Nobel Prize for the number of stem graduates he's produced since he started this channel.

One thing I noticed at 1:21:00 you used the wrong variables. 90 should be multiplied by 30, and 120 by 40. This would change your final answer to be 50 mph, not 48.

I will forever and ever be thankful for your existence in our world, may god bless your beautiful soul.

the hardest part is finding out what you need to find and forming the functions

Thank you so much! this video is so much better than my proffessors, btw at 1:18:50 I think you might have mixed up x and y. Thanks again

Every time I watch my teacher's lecture videos I am so confused but then I watch your videos and it all makes sense. Corona made college impossible but now I think I can make it through online college!!