Posted by Ralph on Monday, October 26, 2009 at 6:26pm.
What is the difference between f'(x), y', and dy/dx?

Calculus  Reiny, Monday, October 26, 2009 at 7:35pm
Just notation.
they mean the same thing.
I say tomato, you say "tomaato"

Calculus  MathMate, Monday, October 26, 2009 at 7:40pm
If y is the dependent variable and x the independent variable, they are all the same.
The minor syntaxical differences are
1. in f'(x), the variable y is not necessary, as f(x) takes the place of y.
2. in y' (Newton's notation), the independent variable is understood according to context. If there is no other information, it would probably be x.
3. dy/dx (Leibniz notation) This is the explicit form with no ambiguities.
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