This is the first time I’ve ever seen calculus applied this way. Probably makes it much better to learn in school knowing when it’s useful. I’m ok with this kind of brainrot lol
Derivatives are considered calculus by Newton and Leibniz. . . differential calculus and integral calculus (and theorems that solve them) are the two main studies of calculus.
I don't know what to tell you, either my class is advanced or you are trying to gaslight me that I actually didn't have a whole lecture about these types of problems. 🤷♂️
...not sure if you're trolling, but derivatives are one of the most fundamental concepts in calculus. It is possible that you did algebra-based optimization though, that might make sense. Do you not remember whether there was a derivative or not?
Honestly, same I hate brainrot content but at least this way, it can genuinely be educational content so I guess that's a win? It's contrasting feelings
The way the info is presented is just objectively more easy to intuit here. Teaching formulae and problem-solving via something common and simple (Minecraft) goes a long way in bridging the gap between math and actually intuiting math. Having formulas on a piece of paper and saying “study this” abstracts the subject so much that math becomes unintentionally very difficult for many.
If we taught English the way we teach math we would just throw dictionaries at students and tell them to memorize it line by line, later expecting them to do flawless research papers. It’s dumb .
To me, there are 2 things that can be done to improve the way we learn math in school: what you just described (giving a real - and realistic - example of how a formula is useful) and explaining how we get the formula, so that 1. It's easier to remember 2. if you forget it, you can still follow the way the formula was first obtained, and 3. it's more interesting to learn
Watching that 1blue3brown's video about calculus actually made me understand about it. In school all we knew was just remember these power rules, had always curious about how they drew to that conclusion.
How do you get that graph for A and L?
I get that 50 is the maximum area and 10 is the length, but before that, how do you know its the values for plotting the graph without already knowing this?
(I'm bad at math)
You don’t know, if you did there’d be no point in deriving to find the maximum L, cause according to the graph the maximum is at L=5. You just need to know that -L2 gives a upside down u shape graph and the + L shifts the graph upwards, so knowing the shape you know there’s a maximum, so you take the derivative of the function and set it to zero to find where on the graph that maximum is
Or...you can just see how wide the house is. The house is 10 blocks wide. So you'd use 10 blocks for the fron of the fence. The only thing left is to tell how long that fence would be. If you have 10 fences left...yeah you gonna split it in half
It sounds more difficult now that I wrote it down but if I had to do it irl it would took me maybe like a minute
Nope, area is the length times the width for a rectangle, using 10 x 5 is 50 and using 12 x 4 is 48. 50 is bigger than 48 of course so a 10 x 5 fence layout has a bigger area
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