How to Solve ANY Optimization Problem | Calculus 1

A step by step guide on solving optimization problems. We complete three examples of optimization problems, using calculus techniques to maximize volume given surface area, maximize area given perimeter, and to minimize distance on a curve from a given point. #calculus1 #apcalculus
2024 AP Calc AB FRQ Solutions: • 2024 AP Calc AB FRQ So...
Finding Absolute Maximums and Minimums: • Find Absolute Extrema ...
Maximize Volume of a Box: • Maximize Volume of an ...
Minimize Distance from Point to Parabola: • Minimize Distance from...
Calculus 1 Course: • Calculus 1
Calculus 1 Exercises playlist: • Calculus 1 Exercises
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[@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.

[@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

[@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)

[@junchen9901]

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

[@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!

[@Francis-xq5nw]

and i wanna maximize the math for my class schedule

[@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!