\prime
The prime symbol (\prime) is used in mathematics to denote derivatives, to distinguish between similar variables, or to indicate a transformed version of a variable. It is often used in calculus and algebra.
First derivative of a function f with respect to x
f'(x) = \frac{dy}{dx}
Transformed variable x in physics, often used in equations of motion
x' = x + vt
Distinguishing a variable a from its related form a'
a' = b + c