Difference between differentiation and partial differentiation

AI Thread Summary
Differentiation is the process of finding the rate of change of a function with respect to a single variable, while partial differentiation involves multiple independent variables. In the context of acceleration, g = GM/r^2 represents gravitational acceleration, and a = dv/dt defines acceleration as the change in velocity over time. Since introductory physics typically considers time as the sole independent variable, partial differentiation is not applicable. The discussion clarifies that both forms of differentiation serve different purposes based on the number of variables involved. Understanding these concepts is essential for grasping the fundamentals of motion and forces in physics.
spidey
Messages
213
Reaction score
0
g = GM/r^2.. since g is an acceleration, Can g be written like this?...g = dv/dt differentiation of velocity..Or partial derivative ∂v/∂t...is this correct...wat is the difference between differentiation and partial differentiation..can somebody explain me which is correct...
 
Physics news on Phys.org
g = GM/r^2 gives the acceleration due to gravity.

a = dv/dt is the basic definition of acceleration (which can be cause be any other force, not just gravity)

Partial differentiation is used when there are more than one independent variables. But since the study of motion in introductory physics uses just one independent variable -- time -- partial derivatives are not relevant.
 
Redbelly98 said:
g = GM/r^2 gives the acceleration due to gravity.

a = dv/dt is the basic definition of acceleration (which can be cause be any other force, not just gravity)

Partial differentiation is used when there are more than one independent variables. But since the study of motion in introductory physics uses just one independent variable -- time -- partial derivatives are not relevant.

Thanks for the info..
 
I think it's easist first to watch a short vidio clip I find these videos very relaxing to watch .. I got to thinking is this being done in the most efficient way? The sand has to be suspended in the water to move it to the outlet ... The faster the water , the more turbulance and the sand stays suspended, so it seems to me the rule of thumb is the hose be aimed towards the outlet at all times .. Many times the workers hit the sand directly which will greatly reduce the water...
Back
Top