This is a general symbol for the derivative of a general function, \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\), in Legrange's notation.
This is a general symbol for the derivative of a general function, \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\), in Legrange's notation, meaning the rate of change of \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\) as variable \(\htmlClass{sdt-0000000003}{x}\) changes. If your function is \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\), then the derivative is displayed as \(\htmlClass{sdt-0000000096}{f}\htmlClass{sdt-0000000025}{'}(\htmlClass{sdt-0000000003}{x})\).
This is a general symbol for the derivative of a general function, \(\htmlClass{sdt-0000000120}{f(x)}\), in Legrange's notation, meaning the rate of change of \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\) as variable \(\htmlClass{sdt-0000000003}{x}\) changes. If your function is \(\htmlClass{sdt-0000000096}{f}(\htmlClass{sdt-0000000003}{x})\), then the derivative is displayed as \(\htmlClass{sdt-0000000096}{f}\htmlClass{sdt-0000000025}{'}(\htmlClass{sdt-0000000003}{x})\). In Leibniz's notation, it would be \(\frac{\htmlClass{sdt-0000000102}{\:d} \htmlClass{sdt-0000000096}{f}}{\htmlClass{sdt-0000000102}{\:d} \htmlClass{sdt-0000000003}{x}}\), and in Newton's notation it would be \(\dot \htmlClass{sdt-0000000003}{x}\).