Uploaded October 2025 | Updated September 2026, 2 weeks ago
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 function 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: inleo.io/threads/view/mes/re-leothreads-2yynuofgg
- Notes: peakd.com/hive-128780/@mes/hfsetrue
- Sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous
- Vector Functions playlist: youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous .
------------------------------------------------------
Become a MES Super Fan! 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: peakd.com/@mes
Email me: contact@mes.fm
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
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 function 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: inleo.io/threads/view/mes/re-leothreads-2yynuofgg
- Notes: peakd.com/hive-128780/@mes/hfsetrue
- Sections playlist: youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous
- Vector Functions playlist: youtube.com/playlist?list=PLai3U8-WIK0FgQ3jBd9IFaWOakOWbHous .
------------------------------------------------------
Become a MES Super Fan! 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: peakd.com/@mes
Email me: contact@mes.fm
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
