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Partial derivative of Vxx w.r.t. r in terms of Vxx

Thread starter mramzan476
Start date Aug 10, 2020
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Derivative Partial Partial derivative Terms

Aug 10, 2020

#1

mramzan476

Can anyone please help me to write partial derivative of Vxx w.r.t. r in terms of Vxx as shown in the hand written box at the end.

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Aug 10, 2020

#2

PeroK

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:welcome:

Perhaps this is more mathematics than Earth Science!

Aug 10, 2020

#3

mramzan476

Dear sir Perok, I do agree with you but Equation (10) is actually related to Earth Science/geo-physics.

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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