Real Life Applications of Calculus You Didn’t Know About

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Optimization Problem in Calculus - Super Simple Explanation

Solving Differentiation Problems Step by Step

Calculus Is Overrated – It is Just Basic Math

[Beta_Brain]

The Last line "love me or hate me but you can't ignore me" was awesome and shows the supremacy of calculus

[MihirBhatol]

"Love me or not but it's out of your limit to ignore me "
- CALCULAS

[HollywoodF]

I’m a structural engineer and there’s loads of calculus in my profession.

[bjornfeuerbacher]

I was aware of problems 1 and 2, these are quite standard, but problems 3 and 4 were new to me. Thanks for the great ideas! :)

[awesome]

Awesome application of optimization: time optimization. Say one has to finish a calculus exam in 75 minutes. The calculus exam has a total of 8 problems with the expected time being 9.375 minutes per problem for each exam. However, the individual wants to be able to double check each problem by differentiating their integration problems to arrive back at the original function confirming their answer is correct. Thus, each question must take on average 4.6875 minutes to achieve this desired outcome. How can the individual optimize their time management skills to achieve success on their calculus exam?

The function f(t) = 2t^2 describes the function of time (in seconds) that the student produces per second of time. Thus f(seconds) = 2(75 seconds)^ 2 = 11, 250 seconds or 187.5 minutes. Currently, the student’s function is unoptimized being 187.5 minutes for the exam compared to the allotted 75 minutes. Thus, one needs to set d/dx = 0. d/dx (2t^2)= 4t. 4t=0, t=0. Thus, if the student were to optimize their time, they would need to do each question in 0 seconds; this isn’t practical though.

[eric]

Rather than use the product rule...Wouldnt it have been easier to evaluate (6-2x)^2 * x
and just differentate each term?

y = (4x^2 -24x +36)x
y = 4x^3 - 24x^2 +36x
dy/dx = 12x^2 -48x + 36.
Then solve as before dy/dx = 0

However.. there are some practical problems still to be solved !! In order to actually make the box
How do you join together the vertical sides of the box.. and it doesnt have a lid

[studentivanhochingchung]

for the first 2, completing the square into a(x-h)^2+k where (h, k) are the coordinates of the max/min point also works

[NinaBri-ujgx]

Keep it up bro your content is awesome

[anaxiomenes]

My commercial operation? A business that sells fruits and vegetables only:
E. A total of thirteen different items are offered;
F. Each item I buy at a different price, say a range between 0, 5-3, 50 $/kg.
G. In order to keep costs down suppliers sell to me no less than 30 kg and no more than 60 kg of each item daily;
H. In order to move all items out the fastest possible, I want to try selling all thirteen items at three different prices, depending on the their purchasing price for each item. Let’s assume: four items are bought at 0, 50$/kg; five items are bought at 2, 50$/kg; four items are bought at 3, 50$/kg.
I. Fixed costs: 1000$/month; variable costs: 409$/month.
J. How would one use differential calculus to optimize minimum kg of each one of the thirteen items bought everyday (for freshness?) AND realize profits from selling the maximum amount of kg for each of the three pricing groups of fruits and vegetables. Thank you.

[Quintolsofwork]

Doubt :if we put derviative equal to zero we get maximum or minimum value?

[gravestone_chaser]

subsitute：get a graphing calculator, less chance of getting it wrong and easier.

[VictorNugger]

Thanks bro now i'll stand next to the movie theatre derivating theta to get perfect views 😂

[.knowmewell]

5:27 My guy tried writting "Noicee!" on TTS and expected to hear "Nice", but got what he wrote instead 😂

[InDeadT]

im just watching for fun and somehow im learning alot

[DrAlicia]

what software do you use to animate your videos

[pratyushkhandelwal]

Wow! The first time I saw applications in such related stories. I was feeling like I am making product and selling it ❤🔥 so cool

[SaiDaGod]

concept of maxima and minima can only be applicable when a function is continuous tho right? I am not sure but before applying dy/dx=0 you have to ensure the continuity of a function.. Correct me if I am wrong i am new to calculus

[DanCarloDioquino]

4:52 it's literally what we just learned from economics class lmao

[rishan.]

Amazing video man! Where did you study from?

[r.nithyasarvan]

THANKS SO MUCH IT WOULD BE ALSO NICE IF YOU HAD A SIMILAR CHANNEL FOR PHYSICS