Uploaded March 2022 | Updated September 2026, 1 week ago
Deriving the product and quotient rules using the chain rule. I prove the formulas for the product and quotient of derivatives from calculus by applying the chain rule to a clever function of several variables. This is like a unified theory of everything, but for the chain rule and shows how powerful it is. I'm hoping this is useful for any undergraduate taking calculus and analysis and it gives a useful way of remembering it for math exams.
0:00 Introduction
0:28 Product Rule
2:07 Quotient Rule
Classical Quotient rule proof: youtu.be/xCcXgAdud5I
Cool Quotient rule proof: youtu.be/HBRzARgo27w
Subscribe to my channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
Deriving the product and quotient rules using the chain rule. I prove the formulas for the product and quotient of derivatives from calculus by applying the chain rule to a clever function of several variables. This is like a unified theory of everything, but for the chain rule and shows how powerful it is. I'm hoping this is useful for any undergraduate taking calculus and analysis and it gives a useful way of remembering it for math exams.
0:00 Introduction
0:28 Product Rule
2:07 Quotient Rule
Classical Quotient rule proof: youtu.be/xCcXgAdud5I
Cool Quotient rule proof: youtu.be/HBRzARgo27w
Subscribe to my channel: youtube.com/drpeyam
TikTok channel: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
