- #1
lLovePhysics
- 169
- 0
I don't get why we need to use differentials and why they are the way they are.
For example: [tex]dy=f'(x)dx[/tex] vs. the derivative [tex]\frac{dy}{dx}=f'(x)[/tex]
Why are they equivalent? Why are integrals written in the differential form? I don't get the purpose of it. (other than to be used as an estimation for error propagation)
It seems weird how you can just move the dx over...
I get how if the change in (delta)x is small then (delta)y can be approximated by dy where dy is the change in y of the tangent line.
For example: [tex]dy=f'(x)dx[/tex] vs. the derivative [tex]\frac{dy}{dx}=f'(x)[/tex]
Why are they equivalent? Why are integrals written in the differential form? I don't get the purpose of it. (other than to be used as an estimation for error propagation)
It seems weird how you can just move the dx over...
I get how if the change in (delta)x is small then (delta)y can be approximated by dy where dy is the change in y of the tangent line.