# physics/derivative-to-dv

Collapse derivative to the compact dv command.

https://texform.dev/rules/physics/derivative-to-dv

## Metadata

| Field | Value |
| --- | --- |
| Key | physics/derivative-to-dv |
| Level | authoring |
| Fidelity | render |
| Enabled by packages | physics |
| Profiles | Authoring, Faithful, Corpus, Equiv |

## Rewrite patterns

### derivative-two-args

From:

```latex
\derivative{#1}{#2}
```

To:

```latex
\dv{#1}{#2}
```

### derivative-star

From:

```latex
\derivative*{#1}{#2}
```

To:

```latex
\dv*{#1}{#2}
```

### derivative-order

From:

```latex
\derivative[#1]{#2}{#3}
```

To:

```latex
\dv[#1]{#2}{#3}
```

### derivative-single-arg

From:

```latex
\derivative{#1}
```

To:

```latex
\dv{#1}
```

## Examples

Examples show the rule in isolation, not a complete normalization profile.

### dv alias embedded

Before:

```latex
F=m\derivative{x}{t}
```

After this rule:

```latex
F=m\dv{x}{t}
```

Packages: base, physics.

Rendering verified with the declared packages.

### derivative field alias

Before:

```latex
\derivative{\phi}{x}=0
```

After this rule:

```latex
\dv{\phi}{x}=0
```

Packages: base, physics.

Rendering verified with the declared packages.

### derivative star alias

Before:

```latex
\derivative*{x}{t}
```

After this rule:

```latex
\dv*{x}{t}
```

Packages: base, physics.

Rendering verified with the declared packages.

### derivative order alias

Before:

```latex
\derivative[n]{x}{t}
```

After this rule:

```latex
\dv[n]{x}{t}
```

Packages: base, physics.

Rendering verified with the declared packages.

### derivative single arg alias

Before:

```latex
\derivative{x} f(x)
```

After this rule:

```latex
\dv{x} f(x)
```

Packages: base, physics.

Rendering verified with the declared packages.

## Triggers

- [\\derivative](https://texform.dev/latex/commands/derivative)

## Eliminates

- [\\derivative](https://texform.dev/latex/commands/derivative)

## Produces

- [\\dv](https://texform.dev/latex/commands/dv)

## Downstream

- [physics/dv-to-frac-d](https://texform.dev/rules/physics/dv-to-frac-d): Expand dv forms to explicit d-based derivative fractions.

## Same family

- [physics/functional-derivative-to-fdv](https://texform.dev/rules/physics/functional-derivative-to-fdv): Collapse long functional derivative names to the fdv command.
- [physics/partial-derivative-to-pdv](https://texform.dev/rules/physics/partial-derivative-to-pdv): Collapse long partial derivative names to the pdv command.
- [physics/vectorarrow-to-va](https://texform.dev/rules/physics/vectorarrow-to-va): Collapse vectorarrow to the short va helper.
- [physics/vectorbold-to-vb](https://texform.dev/rules/physics/vectorbold-to-vb): Collapse vectorbold to the short vb helper.
- [physics/vectorunit-to-vu](https://texform.dev/rules/physics/vectorunit-to-vu): Collapse vectorunit to the short vu helper.
- [physics/dv-to-frac-d](https://texform.dev/rules/physics/dv-to-frac-d): Expand dv forms to explicit d-based derivative fractions.
- [physics/fdv-to-frac-delta](https://texform.dev/rules/physics/fdv-to-frac-delta): Expand fdv forms to explicit delta-based derivative fractions.
- [physics/pdv-to-frac-partial](https://texform.dev/rules/physics/pdv-to-frac-partial): Expand pdv forms to explicit partial-derivative fractions.
- [physics/va-to-vec-mathbf](https://texform.dev/rules/physics/va-to-vec-mathbf): Canonicalize va to an explicit vec-wrapped mathbf form.
- [physics/vb-to-mathbf](https://texform.dev/rules/physics/vb-to-mathbf): Canonicalize vb to an explicit mathbf wrapper.
- [physics/vu-to-hat-mathbf](https://texform.dev/rules/physics/vu-to-hat-mathbf): Canonicalize vu to an explicit hat-wrapped mathbf form.

## Notes

Alias rewrite: derivative and dv share the same physics Derivative handler and argspec, so star, optional order, and one-argument forms are preserved by renaming the command.

## Disable this rule

```python
TransformEngine(profile="corpus", disable_rules=["physics/derivative-to-dv"])
```

```javascript
new TransformEngine({ profile: 'corpus', disableRules: ['physics/derivative-to-dv'] })
```

[Open in Playground](https://play.texform.dev/?input=F%3Dm%5Cderivative%7Bx%7D%7Bt%7D)