Partial-derivative sign

The partial-derivative sign ∂ shows differentiation with respect to one variable while others are held fixed, as in ∂f/∂x.

IN FOCUS∂

PARTIAL DIFFERENTIAL

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Meaning and context

The partial-derivative sign ∂ shows differentiation with respect to one variable while others are held fixed, as in ∂f/∂x.

How to use it

Show both the function and the variable. In a plain-text ratio, group a longer numerator or denominator to preserve the intended derivative.

Examples

Two-variable function

f(x, y) = x² + y; ∂f/∂x = 2x

Here y is held fixed while differentiating with respect to x.

Other variable

For f(x, y) = x² + y, ∂f/∂y = 1.

Changing the denominator changes which variable is differentiated.

Similar shapes, different characters

d

Latin small d

U+0064

Ordinary differential notation often uses d, a different character.

δ

Greek small delta

U+03B4

Delta is a letter and has other defined uses.

Details

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