just apply the chain rule.
Zx = ∂f/∂x = ∂f/∂u * ∂u/∂x + ∂f/∂v * ∂v/∂x = 2x ∂f/∂u + 1 ∂f/∂v
now use that to find
Zxx = ∂Zx/∂x
If Z = f(u, v), u = 𝑥^2−𝑦,𝑣=𝑥−𝑦^2, find Z𝑥𝑥 in terms of derivatives of f.
No clue what to do to solve. I try looking for a video but no luck.Show me in a way so I understand how to solve it on my own.
2 answers
this article might be helpful.
https://math.stackexchange.com/questions/2312943/multivariate-chain-rule-and-second-order-partials
https://math.stackexchange.com/questions/2312943/multivariate-chain-rule-and-second-order-partials
0 answers