DERIVATIVES: What does d[c]/dx mean?
example?
\[\frac{ d[c] }{ dx }\]
if it means \(c\) is come constant, then the derivative is 0
i mean this way of writing, what does it mean
like sometimes i see df/dy too
it means the derivative of \(c\) with respect to \(x\)
\[\frac{dy}{dt}\] means the derivative of y with respect to t. The bottom second variable is what the derivative is respect to. The y is the function to which the derivative is acting upon.
this bit of business is called leibnitz notation. some like it, some hate it. there is actually a subtle difference between \[\frac{d}{dx}[x^2]=2x\] which means the derivative of \(x^2\) and writing let \(f(x)=x^2\) then \(f'(x)=2x\)
what @2le said the variable at the bottom tells you what you are differentiating with respect to. i.e what you consider the variable . all the rest of the letters will be treated as constants
thx man!
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