Question

dN/dt =kN means?

Answer 1

It means that the rate at which N changes with respect to T is directly proportional to N

Answer 2

not T but t, sorry :)

Answer 3

N being the concentration of cells, t the time and k the growth rate. What does d stand for?

Answer 4

It's the differential...
similar to delta
"change in"

Answer 5

Sort of like how
\[\frac{dy}{dx}\]
is change in y with respect to x

Answer 6

Thank you

Answer 7

By the way, if
N = f(t)
That is to say, formally, N is a function of t
then the full definition is

\[\frac{dN}{dt} = \lim_{\Delta x \rightarrow 0}\frac{f(x + \Delta x)-f(x)}{\Delta x}\]

Just as a matter of interest :)

Answer 8

my bad, replace the x's with t's :)