Stationary Points (Turning Points)

Stationary points are a very useful component in graph sketching and a great direct application of differentiation. In this video we will go through what stationary points are, how to find minimum and maximum stationary points and learn about points of inflection. Before watching this video we highly recommend that you watch the first video of our differentiation series here:
Differentiation - • Differentiation
Problem Sheet: mathacy.com/videos/differenti...
Website: mathacy.com
Timestamps:
0:00 - Intro
0:16 - Increasing and decreasing functions
0:26 - Defining stationary points
1:12 - Maximum and minimum points
1:31 - Gradient of a stationary point
2:47 - Examples
4:38 - How to find out if a stationary point is a minimum or maximum
4:59 - Checking nearby points
7:06 - Second derivative method
11:14 - Point of inflection

Пікірлер: 29

  • @Dinesh123lol
    @Dinesh123lol3 жыл бұрын

    Amazing! This is the highest quality maths video I have seen on KZread!! 👌

  • @Sky-up2jl
    @Sky-up2jl2 жыл бұрын

    One of the best math videos I’ve seen, whoever made the animations deserve millions

  • @GryffieTube
    @GryffieTube2 ай бұрын

    WOW! Best explanation I have heard EVER! Thank you SOOO much, this has helped me beyond belief!

  • @rahimmia4479
    @rahimmia4479 Жыл бұрын

    Extremly helpful and thoroughly depiction of stationary point and maximum minimum points. I was watching the video without signing to my account but i couldn't stop myself commenting for this video. A very much recommended video for stationary point and maximum minimum related mathmatics.

  • @aleenavirdee5656
    @aleenavirdee56563 жыл бұрын

    About time someone started a decent maths channel! 🔥 Thank you so much! 😍 Please post more videos 🙏

  • @DiLLZGFX
    @DiLLZGFX3 жыл бұрын

    Wow! This was super helpful! So much better than my useless teachers at school 🙏🙏🙏

  • @nikkibhamra7536
    @nikkibhamra75363 жыл бұрын

    Absolutely great 👍🏼

  • @jsingh6931
    @jsingh69313 жыл бұрын

    Absolutely great explanation thank you 👌

  • @Hanes-Workspace
    @Hanes-Workspace6 ай бұрын

    Awesome teaching 👏👏

  • @civilaviationrd
    @civilaviationrd3 жыл бұрын

    Great videos . Thank you

  • @is-ig4zh
    @is-ig4zh2 жыл бұрын

    Superb! This is how math should be. Intuitive!

  • @rajadipsingh
    @rajadipsingh3 жыл бұрын

    Very helpful video, upload more asap. Upload 'a level' level algebra, sequences and logs please.

  • @zlhertz4075
    @zlhertz40753 жыл бұрын

    Great videos👍explained very well. Please upload more videos

  • @luckykaonga492
    @luckykaonga492 Жыл бұрын

    How I wish I met you in advance for the sake of clarity. Nice view here.

  • @shrinathm.g.8183
    @shrinathm.g.8183 Жыл бұрын

    Best explanation of basics

  • @Aasghar137
    @Aasghar13710 ай бұрын

    Great sir you are doing great work

  • @krishnenduray1758
    @krishnenduray1758 Жыл бұрын

    👌👌👌👌 too good

  • @sukhibhamra5750
    @sukhibhamra57503 жыл бұрын

    Your explaining is so amazing and easy I learned a lot thank you so much you are maths genius 👍🏻Ru doing some online tuition please let me know

  • @cremebrulee2484
    @cremebrulee2484 Жыл бұрын

    What a nicer method using a second derivative is compared to what I learned in school this year, we were taught to use nature tables

  • @johnbeu3671
    @johnbeu36712 жыл бұрын

    wow grate work i loved it

  • @buttercroissant1278
    @buttercroissant12782 жыл бұрын

    your video is very well made! keep going !💙💛🧡

  • @shakaibsafvi97
    @shakaibsafvi972 жыл бұрын

    Excellent Work. Just wondering if this can be used to determine the MPPT point in the Solar Applications... hmmm......

  • @alokbarik713
    @alokbarik713 Жыл бұрын

    Kindly make videos on complex numbers..

  • @hudsonmonanda3191
    @hudsonmonanda3191 Жыл бұрын

    genius 🥰🥰

  • @marorona1086
    @marorona10863 жыл бұрын

    Super 👌 Can you please explain linear programming?

  • @Mathacy

    @Mathacy

    3 жыл бұрын

    Thank you Maro Rona! Stay tuned, we have linear programming lined up!

  • @buttercroissant1278
    @buttercroissant12782 жыл бұрын

    COOLLLLLLL!!

  • @willie333b
    @willie333b Жыл бұрын

    Hmm critical point

  • @ranibro
    @ranibro Жыл бұрын

    You sound like an KZreadr called Mumbo Jumbo