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[tex] \frac{\partial}{\partial x} log(x^{2} + y^{2}) [/tex]

let z = x

^{2}+y

^{2}

Do I need to do a change of base to go from log

_{10}z to log

_{e}z before I can do the partial w.r.t. x?

That would make it

[tex] \frac{\partial}{\partial x} log(x^{2} + y^{2}) = \frac{1}{x^{2}+y^{2}} \ (2x) \ (log_{10}e)[/tex]

Does this look right?

Then

[tex]\frac{\partial^{2}}{\partial x^{2}}(log(x^{2}+y^{2})) = - \frac{1.72x^{2}}{(x^{2} + y^{2})^{2}} + 0.86(x^{2}+y^{2}) [/tex]

?? that doesn't look right.