How to Solve ANY Optimization Problem | Calculus 1

[@WrathofMath]

CORRECTION: In problem 1, at 8:06, the written volume of 118 in^3 is incorrect. 6x6x3 = 108, and hence 108 in^3 is the correct volume.
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[@lorajanke4196]

Ha! Do you know how many different calculations I did, trying to get 118, haha! I finally realized, "Okay, that is supposed to be 108." I should have checked the comments first! Thank you so much for this video! Extremely helpful!

[@samkim9401]

Hi, please add timestamps and video chapters into your videos. Thanks!
0:55 - Finding Dimensions of a box
8:33 - Guidelines for Maximum and Minimum Problems (Larson's Calculus)
9:44 - Finding Dimensions of a square fence
14:00 - Minimizing distance of a point from a parabola
19:47 - Summary

[@marz3960]

Appreciate you man ❤

[@punditgi]

We maximize our learning with Wrath of Math! 😊

[@WrathofMath]

And I minimize the available space on my hard drives! (Bought a new 5TB drive a few months ago, already filled up with math videos, went and bought a 8TB the other day, hopefully gets me through the year)

[@isobar5857]

This I can do...but when it comes to 'the calculus of variations' I'm lost! I have yet to see the original derivation of this concept by Leonard Euler explained in a way that is comprehensible to me. Math to me is just an enjoyable hobby...love your videos and thanks.

[@abdallahsaleh1359]

Hey! I do believe there was a miscalculation for the first question 6 x 6 x 3 is 108 in^3 not 118 in^3. Thanks for the video btw!

[@alix.a.]

you are correct

[@WrathofMath]

Thanks, just pinned a comment about it!

[@rehor2643]

swear this dude doesn't blink the whole video it's throwing me off but its rly helpful thank u

[@WrathofMath]

I'm thinking really hard about my words during these videos, no brain space left to control blinking!

[@Samuel._.T]

@@WrathofMath those blue eye are staring into my soul, still you did great job wording

[@heterosapiens_sapiens]

He's a reptilian, sent here to teach us math, he's one of the good ones don't worry

[@tapstrafe2442]

Video was incredibly helpful and the steps were very well explained! Thank you so much!

[@thatoneuser8600]

11:50 shouldn't the interval be 0 < x < 1200 ?

[@Ofek-sb7ot]

in the first question x can't be 0 because you divided by x, so the domain is 0

[@FacuFernandez35]

"... but let's just use calculus" haha love it

[@ibraxiv-_-6653]

For the last example why didn’t you use implicit differentiation for d^2 ?

[@miller6676]

This video helped out so much!

[@junchen9901]

Thank you so much for making this video. This video helped me a lot :)

[@liamhuerter4035]

Love ur explanations thank u man 🙏🙏

[@pipertripp]

Quick question... enjoyed working that last problem before watching. I used d as the primary function rather than the d^2 transformation. Got me thinking... in order to use a transformation to make the arithmetic easy, does the transformation need to be monotonic in nature so that we can say the the min/max of the transformation will occur at the same spot as for the original function? Does the original function also have to be monotonic?

[@binttehasan]

thank you!!😊

[@WrathofMath]

Thanks for watching!

[@resvolver]

I'm confused, shouldn't the surface area formula be 2x^2 + 4xh = 108 in^2?

[@NirvaanPatel-i8h]

Its an open box so its only x2 because only calculating area for base, no ceiling

[@tacooooo]

How does the x equal the 1/2 y^2. Thats so confusing to me 15:51

[@tacooooo]

How wait never mind I get what you meant

[@Dylan-gt2qh]

3:48am math

[@WrathofMath]

good luck!

[@Dylan-gt2qh]

that's when you were doing it lol

[@WrathofMath]

oh right, I'm a busy fella; gotta do the math when I get the chance!

[@Francis-xq5nw]

and i wanna maximize the math for my class schedule

[@biswanathbera1260]

6×6×3= 108,not 118.slip of the pen.

[@SteelBB9]

Oh yeah yeah Dave

[@seanfinnan1010]

Goat

[@WrathofMath]

Appreciate it!