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Symbols · Operators and calculus

′ ″ Prime

Say it: “prime”, “double prime”

What it means

A prime after a function means its derivative: f′ is the first derivative and f″ the second. After a variable it marks a related but different value, as in s and s′ for the current and next state. In geometry and angles, ′ and ″ are minutes and seconds.

Read aloud in real formulas

Calculus

f′(x) = 2x

Aethel says

f prime of x equals 2x

the derivative of f

Differential equations

y″ + y = 0

Aethel says

y double prime plus y equals 0

y's second derivative plus y is zero

Typing it

LaTeX
f', f''
Unicode
U+2032, U+2033

Formulas that use it

Questions

How do you say ′ out loud?

It is usually read “prime”, and also “double prime”.

What does ′ mean in maths?

A prime after a function means its derivative: f′ is the first derivative and f″ the second. After a variable it marks a related but different value, as in s and s′ for the current and next state. In geometry and angles, ′ and ″ are minutes and seconds.

How do you type ′?

In LaTeX, write f', f''. Its Unicode code point is U+2032, U+2033.

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