LatexNotes

Prime / derivative (′) in LaTeX

A prime is typed with a straight apostrophe in math mode, so is f-prime, the usual notation for a derivative. Repeat it for higher derivatives: and .

LaTeX command

f'

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In math mode you type a prime simply as an apostrophe: gives f with a prime mark, most often the first derivative . LaTeX automatically raises the apostrophe to the superscript position and uses the proper prime glyph rather than a quote character. Repeat the apostrophe for (second derivative) and (third).

If you need a prime together with an explicit superscript, use \prime inside a superscript group: x^{\prime} gives the same mark. Writing ^2 can be ambiguous, so when both a prime and a power appear, brace the primed symbol first, as in {}^{2}.

Beyond three primes the notation is hard to read, so most authors switch to a parenthesised order such as f^{(4)} for the fourth derivative. The apostrophe approach is preferred over a literal Unicode prime because it is portable and KaTeX-safe.

Other forms

f''double prime
x^{\prime}explicit prime

Examples

$f'(x)$

the first derivative

$f''(x)$

the second derivative

$y' = 2x$

a derivative in y notation

$f^{(4)}(x)$

the fourth derivative, avoiding four primes

$x^{\prime}$

an explicit prime via \prime

Tips and common mistakes

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FAQ

How do I write f prime in LaTeX?

Type an apostrophe in math mode: . LaTeX raises it to a proper prime mark denoting the derivative.

How do I write the second and third derivatives?

Repeat the apostrophe: and . For the fourth and beyond, prefer .

How do I combine a prime with an exponent?

Group the primed symbol before adding the power, for example , to avoid an ambiguous ordering.

See also