diff --git a/.strict-typing b/.strict-typing
index 7ad69dc477f..baa7f9e24f7 100644
--- a/.strict-typing
+++ b/.strict-typing
@@ -86,6 +86,7 @@ homeassistant.components.cpuspeed.*
 homeassistant.components.crownstone.*
 homeassistant.components.deconz.*
 homeassistant.components.demo.*
+homeassistant.components.derivative.*
 homeassistant.components.device_automation.*
 homeassistant.components.device_tracker.*
 homeassistant.components.devolo_home_control.*
diff --git a/homeassistant/components/derivative/sensor.py b/homeassistant/components/derivative/sensor.py
index 59e661fce0b..8b8bc2f59f7 100644
--- a/homeassistant/components/derivative/sensor.py
+++ b/homeassistant/components/derivative/sensor.py
@@ -4,6 +4,7 @@ from __future__ import annotations
 from datetime import datetime, timedelta
 from decimal import Decimal, DecimalException
 import logging
+from typing import TYPE_CHECKING
 
 import voluptuous as vol
 
@@ -137,20 +138,20 @@ class DerivativeSensor(RestoreEntity, SensorEntity):
     def __init__(
         self,
         *,
-        name,
-        round_digits,
-        source_entity,
-        time_window,
-        unit_of_measurement,
-        unit_prefix,
-        unit_time,
-        unique_id,
-    ):
+        name: str | None,
+        round_digits: int,
+        source_entity: str,
+        time_window: timedelta,
+        unit_of_measurement: str | None,
+        unit_prefix: str | None,
+        unit_time: str,
+        unique_id: str | None,
+    ) -> None:
         """Initialize the derivative sensor."""
         self._attr_unique_id = unique_id
         self._sensor_source_id = source_entity
         self._round_digits = round_digits
-        self._state = 0
+        self._state: float | int | Decimal = 0
         # List of tuples with (timestamp_start, timestamp_end, derivative)
         self._state_list: list[tuple[datetime, datetime, Decimal]] = []
 
@@ -231,7 +232,9 @@ class DerivativeSensor(RestoreEntity, SensorEntity):
                 (old_state.last_updated, new_state.last_updated, new_derivative)
             )
 
-            def calculate_weight(start, end, now):
+            def calculate_weight(
+                start: datetime, end: datetime, now: datetime
+            ) -> float:
                 window_start = now - timedelta(seconds=self._time_window)
                 if start < window_start:
                     weight = (end - window_start).total_seconds() / self._time_window
@@ -259,6 +262,9 @@ class DerivativeSensor(RestoreEntity, SensorEntity):
         )
 
     @property
-    def native_value(self):
+    def native_value(self) -> float | int | Decimal:
         """Return the state of the sensor."""
-        return round(self._state, self._round_digits)
+        value = round(self._state, self._round_digits)
+        if TYPE_CHECKING:
+            assert isinstance(value, (float, int, Decimal))
+        return value
diff --git a/mypy.ini b/mypy.ini
index 737761ae5a5..8d15bee1460 100644
--- a/mypy.ini
+++ b/mypy.ini
@@ -613,6 +613,16 @@ disallow_untyped_defs = true
 warn_return_any = true
 warn_unreachable = true
 
+[mypy-homeassistant.components.derivative.*]
+check_untyped_defs = true
+disallow_incomplete_defs = true
+disallow_subclassing_any = true
+disallow_untyped_calls = true
+disallow_untyped_decorators = true
+disallow_untyped_defs = true
+warn_return_any = true
+warn_unreachable = true
+
 [mypy-homeassistant.components.device_automation.*]
 check_untyped_defs = true
 disallow_incomplete_defs = true