https://youtu.be/flBJsLXjUHk

In this video I use the calculus methods for curve sketching that I showed in my earlier videos and solve a very useful example on minimizing the distance between a point on a parabola and any given point.

---

Watch video on:

- 3Speak: []()
- Odysee: [https://odysee.com/@mes:8/optimization-examples-part-3-minimizing:2](https://odysee.com/@mes:8/optimization-examples-part-3-minimizing:2)
- BitChute: [https://www.bitchute.com/video/cIi8YUz5FPgw/](https://www.bitchute.com/video/cIi8YUz5FPgw/)
- Rumble: []()
- DTube: []()
- YouTube: [https://youtu.be/flBJsLXjUHk](https://youtu.be/flBJsLXjUHk)

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiahywKANwgxKG87Njg?e=peFA6q

---

# View Video Notes Below!

---

>Download these notes: Link is in video description.
>View these notes as an article: https://peakd.com/@mes
>Subscribe via email: http://mes.fm/subscribe
>Donate! :) https://mes.fm/donate
>Buy MES merchandise! https://mes.fm/store 
>More links: https://linktr.ee/matheasy
>**Follow my research in real-time on my MES Links Telegram:** https://t.me/meslinks
>Subscribe to MES Truth: https://mes.fm/truth
>
>Reuse of my videos:
>- Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.
>
>Fight back against censorship:
>- Bookmark sites/channels/accounts and check periodically
>- Remember to always archive website pages in case they get deleted/changed.
>
>Recommended Books:
>- "Where Did the Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
>
>Join my forums!
>- Hive community: https://peakd.com/c/hive-128780
>- Reddit: https://reddit.com/r/AMAZINGMathStuff
>- Discord: https://mes.fm/chatroom
>
>Follow along my epic video series:
>- #MESScience: https://mes.fm/science-playlist
>- #MESExperiments: https://peakd.com/mesexperiments/@mes/list
>- #AntiGravity: https://peakd.com/antigravity/@mes/series
>-- See Part 6 for my Self Appointed PhD and #MESDuality breakthrough concept!
>- #FreeEnergy: https://mes.fm/freeenergy-playlist
>- #PG (YouTube-deleted series): https://peakd.com/pg/@mes/videos
>
>---
>
>NOTE #1: If you don't have time to watch this whole video:
>
>- Skip to the end for Summary and Conclusions (if available)
>- Play this video at a faster speed.
>-- TOP SECRET LIFE HACK: Your brain gets used to faster speed!
>-- MES tutorial: https://peakd.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website
>- Download and read video notes.
>- Read notes on the Hive blockchain #Hive
>- Watch the video in parts.
>-- Timestamps of all parts are in the description.
>
>Browser extension recommendations: 
>
>- Increase video speed: https://mes.fm/videospeed-extension
>- Increase video audio: https://mes.fm/volume-extension
>- Text to speech: https://mes.fm/speech-extension
>--Android app: https://mes.fm/speech-android

---

# Optimization Examples – Part 3: Minimizing Distance

![Optimization Examples - Part 3.jpg](https://files.peakd.com/file/peakd-hive/mes/Ep3kB3mUaVDhdYyXH31ukrvZSG9a2r245hG88B2PG8vSbtRKfRNJjMVa2dmJFmhBy4S.jpg)

## Example 3

Find the point on the parabola y<sup>2</sup> = 2x that is closest to the point (1, 4).

### Solution

![image.png](https://files.peakd.com/file/peakd-hive/mes/Eo2BTut2ptshFxbBg8j1nowSfYtG2zhkPbzX48cbNafiD9jANb5KyDwdST27AEx1p8s.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tHbr9ym7bkpfoTNSswaWmPQcNq4jVR3vsg3byTQ2N3A8eXj4KrQvMkV23t33rnWQyt4.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/Eo4Js77WvPe4sUkuARrC96dB7X1qvhP6BmtyjLyfHWiKniBPaSCsDy6sxzidmRhPwNT.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23t8CfKPvxwq4Z7zp948dRzWkgryw1rT7NLgJEa82yEyb2t8T1dji2Gn4uuM8UahZ48vm.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tHdQDGmsmd2Nr69XMgFsv38pbYSwhxjLmyfH6bpCPZD1rCPv7Wy6hzpbqByVmSdgjL8.png)