Understanding Newton's Notation for Derivatives of Velocity and Frequency

[GreenPrint]

Homework Statement

If velocity = displacement (time)
or
.
x = dx/dt

were you put a dot above the x using Newtons notation were you indicate a derivative with reference to time with a dot above the symbol

so I was like
speed of light = lambda (frequency)
or

lambda with a dot above it = d(lambda)d(frequency)

is this correct because this all the speed of light is? Sense frequency is simply 1/t?

c = lambda frequency
c = lambda/period
lambda (with a dot above it) = d(labmda)d(frequency)

I just never got Newtons notation with the dot thing am I doing this correctly?

Homework Equations

The Attempt at a Solution

 

[Inferior89]

The dot is there for the derivative with respect to time only.

So
$$\dot{f} = \frac{d}{d t} f$$

 

[Mark44]

Homework Statement

If velocity = displacement (time)

velocity is a quotient. The way you have it above, it looks like a product.

or
.
x = dx/dt

were you put a dot above the x using Newtons notation were you indicate a derivative with reference to time with a dot above the symbol

so I was like
speed of light = lambda (frequency)

There's no deriviative involved here. The speed of light, c, is a constant.

or

lambda with a dot above it = d(lambda)d(frequency)

is this correct because this all the speed of light is? Sense frequency is simply 1/t?

c = lambda frequency
c = lambda/period
lambda (with a dot above it) = d(labmda)d(frequency)

I just never got Newtons notation with the dot thing am I doing this correctly?

Homework Equations

The Attempt at a Solution