Hi,
I have been struggling with this question for a while now and I don't know if im on the right track or where to go from here.
Question
Show that the time derivative of the logarithm of a variable equals its growth rate measured in percent. Use the following notation for a time derivative:
dX/dT =X
My workings
dx/dt = time variable
ln=logarithm
X=Vairable
@x/x=growth rate in percentage terms
let change in variable = @ because I can't find the triangle symbol.
dx/dt(ln)X=@X/X
I feel im getting quite lost or on the wrong track for this question. Any help would be greatly appreciated!!
Kind regards,
James
I have been struggling with this question for a while now and I don't know if im on the right track or where to go from here.
Question
Show that the time derivative of the logarithm of a variable equals its growth rate measured in percent. Use the following notation for a time derivative:
dX/dT =X
My workings
dx/dt = time variable
ln=logarithm
X=Vairable
@x/x=growth rate in percentage terms
let change in variable = @ because I can't find the triangle symbol.
dx/dt(ln)X=@X/X
I feel im getting quite lost or on the wrong track for this question. Any help would be greatly appreciated!!
Kind regards,
James