home-assistant.io/source/_integrations/derivative.markdown

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---
title: Derivative
description: Instructions on how to integrate Derivative Sensor into Home Assistant.
ha_category:
- Utility
- Energy
- Sensor
ha_release: 0.105
ha_iot_class: Local Push
logo: derivative.png
ha_qa_scale: internal
ha_codeowners:
- '@afaucogney'
ha_domain: derivative
---
The `derivative` platform creates a sensor that estimates the derivative of the values provided by a source sensor.
Derivative sensors are updated upon changes of the **source**.
## Configuration
To enable Derivative Sensor in your installation, add the following to your `configuration.yaml` file:
```yaml
# Example configuration.yaml entry
sensor:
- platform: derivative
source: sensor.current_speed
```
{% configuration %}
source:
description: The entity ID of the sensor providing numeric readings
required: true
type: string
name:
description: Name to use in the frontend.
required: false
default: source entity ID meter
type: string
round:
description: Round the calculated derivative value to at most N decimal places.
required: false
default: 3
type: integer
unit_prefix:
description: Metric unit to prefix the derivative result ([Wikipedia](https://en.wikipedia.org/wiki/Unit_prefix)). Available symbols are "n" (1e-9), "µ" (1e-6), "m" (1e-3), "k" (1e3), "M" (1e6), "G" (1e9), "T" (1e12).
required: false
default: None
type: string
unit_time:
description: SI unit of time of the derivative. Available units are s, min, h, d.
required: false
default: h
type: string
unit:
description: Unit of Measurement to be used for the derivative.
required: false
type: string
time_window:
description: The time window in which to calculate the derivative. This is useful for sensor that output discrete values. By default the derivative is calculated between two consecutive updates.
default: 0
required: false
type: time
{% endconfiguration %}
## Temperature example
For example, you have a temperature sensor `sensor.temperature` that outputs a value every few seconds, but rounds to the nearest half number.
That means that two consecutive output values might be the same (so the derivative is `Δy/Δx=0` because `Δy=0` !)
However, the temperature might actually be changing over time.
In order to capture this, you should use a `time_window`, such that immediate jumps don't result in high derivatives and that after the next sensor update, the derivatives doesn't vanish to zero.
An example configuration that uses `time_window` is
```yaml
sensor:
- platform: derivative
source: sensor.temperature
name: Temperature change per hour
round: 1
unit_time: h
time_window: "00:30:00" # we look at the change over the last half hour
```