Logarithmic differentiation

From Glossary of Meteorology



logarithmic differentiation

Finding derivatives by taking the logarithm of both sides of an equation and then differentiating.

In meteorology this process is applied, for example, to the equation of state for a perfect gas, giving
ams2001glos-Le27
or to the Poisson equation for potential temperature, giving
ams2001glos-Le28
where P is pressure, ρ density, T temperature, θ potential temperature, and Κ Poisson's constant.


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