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Symbols · Operators and calculus

d/dx Derivative (Leibniz notation)

Say it: “d by d x”, “the derivative with respect to x of”, “d y d x”

What it means

dy/dx is the derivative of y with respect to x: how fast y changes as x changes. It looks like a fraction and, in the chain rule and in separating variables, often behaves like one.

Read aloud in real formulas

Calculus

d/dx x² = 2x

Aethel says

the derivative with respect to x of x squared equals 2x

the derivative of x squared

Physics

v = dx/dt

Aethel says

v equals the derivative of x with respect to t

velocity is the rate of change of position

Typing it

LaTeX
\frac{dy}{dx}
Unicode
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Formulas that use it

Questions

How do you say d/dx out loud?

It is usually read “d by d x”, and also “the derivative with respect to x of” or “d y d x”.

What does d/dx mean in maths?

dy/dx is the derivative of y with respect to x: how fast y changes as x changes. It looks like a fraction and, in the chain rule and in separating variables, often behaves like one.

How do you type d/dx?

In LaTeX, write \frac{dy}{dx}.

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