luckis11
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Understanding the Equation in f'(x) Notation
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luckis11
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In Lagrange's notation f'(x), please, as I asked? 
They also say there: "In steady flow u=u(x), so..."...so the equation I asked about. What do they mean? How can it not be that u=u(x)?
http://en.wikipedia.org/wiki/Bernoulli's_equation#Derivations_of_Bernoulli_equation
They also say there: "In steady flow u=u(x), so..."...so the equation I asked about. What do they mean? How can it not be that u=u(x)?
http://en.wikipedia.org/wiki/Bernoulli's_equation#Derivations_of_Bernoulli_equation
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When you write u=u(x) you're simply clarifying that the function is dependent on x. It's very common to just stop writing u(x) because everybody knows that it's a function of x (for example, epenguin's post)
v' is v'(x) in epenguin's post, and v is v(x) so it's v(x)v'(x)=(v(x)2)'/2
v' is v'(x) in epenguin's post, and v is v(x) so it's v(x)v'(x)=(v(x)2)'/2