mes 3Speak Podcast

Exercise 5: Proof of Formula 6: Chain Rule for Vector Functions

Listen Later

https://3speak.tv/watch?v=mes/aajqxifb
In this video I prove Formula 6 of the differentiation rules for vector functions and this time show that the derivative of a vector function whose parameter is a real valued function results in a counterpart of the chain rule. In other words, the derivative of the vector functions in terms of the parameter t becomes the derivative of the real-valued function in terms of the parameter t multiplied by the derivative vector function in terms of the parameter f(t).

#math #vectors #calculus #chainrule #education

Timestamps:

  • Exercise 5: Proof of Formula 6: Derivative of a Function within a Vector Function: 0:00
  • Solution: Taking derivative of components: 1:05
  • Applying chain rule for each component: 2:54
  • Factor out the real-valued function: 3:46
  • We obtain our chain rule for vector functions: 4:21

    • Notes and playlists:

    • Summary: https://inleo.io/threads/view/mes/re-leothreads-2yynuofgg
    • Notes: https://peakd.com/hive-128780/@mes/hfsetrue
    • Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous
    • Vector Functions playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous .

      • Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join

      DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

      SUBSCRIBE via EMAIL: https://mes.fm/subscribe

      MES Links: https://mes.fm/links

      MES Truth: https://mes.fm/truth

      Official Website: https://MES.fm
      Hive: https://peakd.com/@mes

      Email me: [email protected]

      Free Calculators: https://mes.fm/calculators

      BMI Calculator: https://bmicalculator.mes.fm

      Grade Calculator: https://gradecalculator.mes.fm
      Mortgage Calculator: https://mortgagecalculator.mes.fm
      Percentage Calculator: https://percentagecalculator.mes.fm

      Free Online Tools: https://mes.fm/tools

      iPhone and Android Apps: https://mes.fm/mobile-apps

      ...more
      View all episodesView all episodes
      Download on the App Store
      mes 3Speak PodcastBy Math Easy Solutions