- #1

intervoxel

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## Homework Statement

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

## Homework 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]

## 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]

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