Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Lagrange's notatio

One of the most common modern notations for differentiation is due toJoseph Louis Lagrange and uses the prime mark: the first three derivatives of f are denoted

f'; for the first derivative,
f''; for the second derivative,
f'''; for the third derivative.

After this, some authors continue by employing Roman numerals such as f IV for the fourth derivative of f, while others put the ordinal of the derivative in parentheses, so that the fourth derivative of f would be denoted f (4). The latter notation extends readily to any number of derivatives, so that the nth derivative of f is denoted f (n).

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Almajmaah University

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