Does the gradiant change when stretching coordinates?

[physicsfreak88]

Homework Statement

Well, if you have given a gradiant in cartisian coordinate system? what happened to the gradiant if we stretched the coordinates by factor of 2?

Homework Equations

The Attempt at a Solution

I think gradiant should be the same as it's the rate of change of some function.

 

[jedishrfu]

You could test this yourself by taking a known problem where you have the gradient and subbing in 2x for x and see how it flows through the differentiations to get the gradient.

 

[PeroK]

Homework Statement

Well, if you have given a gradiant in cartisian coordinate system? what happened to the gradiant if we stretched the coordinates by factor of 2?

Homework Equations

The Attempt at a Solution

I think gradiant should be the same as it's the rate of change of some function.

If a car is traveling at x m/s, is it traveling at x mph?