Differentiation Rules for Vector Functions
In this video I go over the six main differentiation rules for vector functions, as well as the 2nd (or higher) derivatives. The rules have their similar counterparts for real valued functions, and I leave the proofs for later videos. Deriving each rule involves either applying the definition of a derivative for a vector function or applying the theorem of differentiating functions by components.
#math #science #calculus #vectors #education
Timestamps
- Second derivative of a vector function is just the derivative of the derivative: 0:00
- Differentiation rules have counterparts for real-valued functions: 1:48
- Formula 1: Derivative of Addition of Vector functions: 2:20
- Formula 2: Constant multiple: 3:00
- Formula 3: Real-valued function multiple: 3:27
- Formula 4: Dot product: 4:15
- Formula 5: Cross product: 5:08
- Formula 6: Chain rule: 5:50
- Screenshot of the 6 differentiation rules from my Calculus Book: 6:50
Notes and playlists
- Summary: @mes/re-leothreads-2pbvvk4am
- Notes: @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: @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
▶️ 3Speak
Leave Differentiation Rules for Vector Functions to:
Read more #math posts
Best Posts From Math Easy Solutions
We have not curated any of mes's posts yet. But you can encourage our curation team to review posts by visiting them regularly and by referring other readers. Because we give priority to frequently read content.
More Posts From Math Easy Solutions
- Electric arc
- Rare extended footage of the ball lightning spotted in Alberta, Canada on July 2, 2025 ⚡💥
- Possible ball lightning observed during thunderstorm near Rich Valley, Alberta
- French horn
- Mini-tornado at the WTC on 9/11 🌪👀
- Rare extended footage of a tornado being formed in Mexico 2012 🌪
- Bidet
- Meteorologist Ted Fujita's explanation for how tornadoes are formed 🌪
- Rare footage of a tornado appears to form from the ground up! 🌪😮
- Grok
- Grok
- Army looks to strike foes with lightning weapon
- Dr. Judy Wood's 2011 Presentation at New Horizons: Where Did the Towers Go?
- Ken Shoulders Power Point
- Laser-induced plasma to create 3D volumetric images with sound 🤯
- Amazing 360-degree fog image projection + interactive display! 😮
- Theorem 2: Series of Sums is equal to Sum of Series
- Theorem 2: Series of Sums is equal to Sum of Series
- Theorem 1 and the Test for the Divergence of Infinite Series
- Theorem 1 and the Test for the Divergence of Infinite Series