Derivative of a partial Deriative

[yinx]

Hi guys,
how do a differentiation on a partial derivative e.g: d/dt (partial U / Partial X) ?

kinda confused about it. Would be great if someone can answer this qn thanks!

 

[Disconnected]

Hi guys,
how do a differentiation on a partial derivative e.g: d/dt (partial U / Partial X) ?

kinda confused about it. Would be great if someone can answer this qn thanks!

Hey Yinx. I'll be using d as the partial d for ease of typing.
Firstly, there may be an error. If U is a function of both x and t, then (except in the obvious case) dU/dx will also be a function of both x and t, and d/dt(dU/dx) will thus also be a partial derivative.

That aside, simply differentiate with respect to t.

Example:

U(x,t)=4x^2t^3

dU/dx=8xt^3

d/dt(dU/dx)=24xt^2

Did that make sense, or were you looking for something else?