(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a and b are functions of z:

a=a(z); b=b(z)

I want to calculate the second order partial derivative operator on z

2. Relevant equations

Using the chain rule:

[tex]

\frac{\partial}{\partial z}=\frac{\partial a}{\partial z}\frac{\partial}{\partial a}+\frac{\partial b}{\partial z}\frac{\partial}{\partial b}

[/tex]

3. The attempt at a solution

Is it correct?

[tex]

\frac{\partial^2}{\partial z^2}=\frac{\partial}{\partial a^2}+2\frac{\partial^2}{\partial a\partial b}+\frac{\partial^2}{\partial b^2}

[/tex]

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Second order partial derivative

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