What is f''(x) in terms of dx/dy?

Try Brilliant with a 30-day free trial 👉 https://brilliant.org/blackpenredpen/ ( 20% off with this link!)

You might noticed that f'(x)=dy/dx = 1/(dx/dy), but how about d^2y/dx^2 ? Let's work out this fun calculus question with implicit differentiation and the chain rule for derivatives.
----------------------------------------
Big thanks to my Patrons for the full-marathon support!
Ben D, Grant S, Mark M, Phillippe S. Michael Z, Nicole D. Camille E.
Nolan C. Jan P. Devun C. Stefan C.

💪 Support this channel and get my math notes by becoming a patron:   / blackpenredpen  
🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6
---------------------------------------