Optimization: Find a Point on a Curve That is Closest to a Given Point

This video shows how to find a point on a curve that is closest to a given point that is not on the curve.

[@grimward1448]

coolest math teacher accent so far

[@Ashton_ls]

Bro speaks like a cowboy

[@camrynsmithers244]

i have a test tomorrow and have been trying to figure this out since my teacher didn’t explain it well. after watching this video once i got it right away thank you!!

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck on your test.

[@RandomKid2580]

Thank you so much for breaking down and explaining the importance of each step of the process! It really helped me understand how to do these types of problems :D

[@crowsmathclass]

You’re welcome. Glad it helped. Thank you for the comment.

[@Nukroo]

Hey man I just wanted to say that I appreciate your videos. They are very useful for when to need to review some topics.

[@crowsmathclass]

Thank you. Glad they help.

[@SweatBloodTears]

I know im four years late but youre the first souther math tutor I have ever heard.

[@crowsmathclass]

👍

[@Mr_R_Oil]

Thank you for the help, I had this question in my homework and we never learned how to do it in the notes!

[@crowsmathclass]

You’re welcome.

[@liy4100]

I like the explanation!!! I was so stuck and I came across this and got the problem correct!!! Thank you!!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@mrgrimm-od5bt]

Thank you very much for the video, I probably would’ve done bad on a test without this My thankfulness to you my fine gentleman!

[@crowsmathclass]

You’re welcome. Glad it helped. Good luck in your class.

[@voy_]

5:02 this shortcut is amazing

[@AnEnemyAnemone1]

Funny thing is, it’s not really a shortcut!

[@C0C0_Blitz]

bro responds to every comment, amazing (I also have a test today and this was a godsend so thank you so much)

[@crowsmathclass]

You’re welcome. Hope you did good on your test.

[@jccrazybros9661]

Needed this for my calc exam tomorrow… wish me luck

[@crowsmathclass]

Good luck on your exam and in your class.

[@sofiaceballos6955]

I love your accent!! Thanks for the math help

[@crowsmathclass]

You’re welcome. Thank you.

[@nicolasrecio2946]

Calc final tomorrow and this was a very helpful last-minute review!

[@crowsmathclass]

Glad it helped. Good luck on your final.

[@farisalhoutan197]

thank you so much! the way you explained the question makes it feel way simpler

[@crowsmathclass]

You’re welcome. Glad it helped.

[@salmacortez5660]

thank you so much, this video helped me out so much, love that you explain every step.

[@crowsmathclass]

You’re welcome. Glad it helped.

[@lukews1519]

LIKE: clear and to the point, easy to follow

[@crowsmathclass]

Thank you.

[@TheRojo387]

This'll be useful for finding points where two curves intersect on a plane.

[@crowsmathclass]

👍

[@sergiobaroud2298]

this dude is super chill

[@Juiceboy3005]

Thank you, this really helped!

[@crowsmathclass]

You're welcome.

[@dalila8583]

Thank You, this was really helpful!

[@crowsmathclass]

You’re welcome. Glad it helped.

[@TinKeiWong]

have a question here, I'm looking for a solution in three dimensional since I study programming not sure how to find Z-axis. would you please to point me into right direction ? e.g. article with some example like yours will be great. Thanks for the video, your step are very clear, even tell me the correct step before the trick that's very helpful.

[@spzpekka4312]

Had a very similar problem; thank you so much!

[@crowsmathclass]

You’re welcome.

[@kevinkazanova6129]

Thank you! fast and easy to explain!

[@crowsmathclass]

You’re welcome.

[@davidli6068]

you're a lifesaver, thank you

[@crowsmathclass]

You’re welcome.

[@TheHappycoke]

Godbless you wise sage

[@crowsmathclass]

Thank you.

[@Chrisymcmb]

6:41 Why exactly do you need to be within the domain of the radical which is the distance? Within what is inside the radical or the whole radical itself?

[@crowsmathclass]

The domain of the function.

[@Chrisymcmb]

@@crowsmathclass [0, infinity] ?

[@crowsmathclass]

Yes

[@elenahubert9234]

Thank you!! You're a lifesaver

[@crowsmathclass]

You’re welcome. Glad it helped.

[@zackknapp2951]

great video; so underrated

[@crowsmathclass]

Thank you. Glad it helped.

[@retro_cody_]

Thanks you good sir, funnily enough this problem was the exact same and my hw problem. Hope I carried over the knowledge. But I made sure to do the steps you mentioned before you did it and checked if I was good. So I think I'm good XD

[@crowsmathclass]

You’re welcome. Glad it helped.

[@rh-uv5gu]

Thank you, this really helped me understand

[@crowsmathclass]

You’re welcome. Glad it helped.

[@joshwylie1772]

this video is really helpful i do a level maths in england and this was very similar to the question i had to do so very good 👍

[@crowsmathclass]

Thank you.

[@irenee889]

Thanks! Great explanation!

[@crowsmathclass]

Thank you. Glad it helped.

[@EARLy0]

THANK YOU VERY MUCH ❤️❤️❤️❤️❤️❤️❤️

[@crowsmathclass]

You’re welcome.

[@bluemarble5225]

I loveeee ur accent!!

[@crowsmathclass]

Thank you.

[@nilasubramani2820]

thanks

[@crowsmathclass]

You’re welcome.

[@minnamunjal6862]

Nice video!!!

[@crowsmathclass]

Thank you.

[@katlegolebelwane3318]

What if the question requires the closest point and the furthest point. How would the answer be different from this one?

[@crowsmathclass]

It would be impossible to find the furthest point. The graph continues forever.

[@liseine7611]

What if it was asking for the closest point on a circle to another circle

[@crowsmathclass]

Draw a line from center of one circle to the other. It would be where the line intersects the circles.

[@katlegolebelwane3318]

I got a question that read: find the points on the curve y= √x, [0, 3] that are closest to and furthest from the point (0, 2).

[@crowsmathclass]

You would test at the critical number and the endpoints of the interval.

[@katlegolebelwane3318]

@@crowsmathclass thanks a lot.

[@crowsmathclass]

You’re welcome.

[@XxRespawNxX619]

Thank you for the step by step process ! When doing this, I set d^2 = (x-3)^2 + (y-0)^2 , and when taking the derivative just set d^2 to 0. I reached the same answer. Is there a particular reason why we do it the way shown in the video, and not just the easier way, as in my comment ? Thanks for any replies in advance.

[@crowsmathclass]

It will work on this. When you take the derivative of d the part under the square root will end up in the numerator which you set equal to zero

[@emeraldkillr803]

Blessss

[@crowsmathclass]

👍

[@kathrynhockenbury9564]

Literal god, thank you so much

[@crowsmathclass]

You’re welcome.

[@gabrielranoco3324]

what if its x²+y²=1 at 3,0

[@megawatisalahiron3675]

Thank u!!!

[@crowsmathclass]

You're welcome. Glad it helped.

[@cindyportugal8934]

thank you~~~

[@crowsmathclass]

You’re welcome.

[@Berrybooo]

Why minimum i didn’t get it

[@crowsmathclass]

It’s asking for point closest.