diff --git a/library/core/src/slice/mod.rs b/library/core/src/slice/mod.rs
index d0d88c01f5b..349c2cde274 100644
--- a/library/core/src/slice/mod.rs
+++ b/library/core/src/slice/mod.rs
@@ -2034,6 +2034,50 @@ impl<T> [T] {
         sort::quicksort(self, |a, b| f(a).lt(&f(b)));
     }
 
+    /// Reorder the slice such that the element at `index` is at its final sorted position.
+    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[rustc_deprecated(since = "1.49.0", reason = "use the select_nth_unstable() instead")]
+    #[inline]
+    pub fn partition_at_index(&mut self, index: usize) -> (&mut [T], &mut T, &mut [T])
+    where
+        T: Ord,
+    {
+        self.select_nth_unstable(index)
+    }
+
+    /// Reorder the slice with a comparator function such that the element at `index` is at its
+    /// final sorted position.
+    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[rustc_deprecated(since = "1.49.0", reason = "use select_nth_unstable_by() instead")]
+    #[inline]
+    pub fn partition_at_index_by<F>(
+        &mut self,
+        index: usize,
+        compare: F,
+    ) -> (&mut [T], &mut T, &mut [T])
+    where
+        F: FnMut(&T, &T) -> Ordering,
+    {
+        self.select_nth_unstable_by(index, compare)
+    }
+
+    /// Reorder the slice with a key extraction function such that the element at `index` is at its
+    /// final sorted position.
+    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[rustc_deprecated(since = "1.49.0", reason = "use the select_nth_unstable_by_key() instead")]
+    #[inline]
+    pub fn partition_at_index_by_key<K, F>(
+        &mut self,
+        index: usize,
+        f: F,
+    ) -> (&mut [T], &mut T, &mut [T])
+    where
+        F: FnMut(&T) -> K,
+        K: Ord,
+    {
+        self.select_nth_unstable_by_key(index, f)
+    }
+
     /// Reorder the slice such that the element at `index` is at its final sorted position.
     ///
     /// This reordering has the additional property that any value at position `i < index` will be
@@ -2058,12 +2102,10 @@ impl<T> [T] {
     /// # Examples
     ///
     /// ```
-    /// #![feature(slice_partition_at_index)]
-    ///
     /// let mut v = [-5i32, 4, 1, -3, 2];
     ///
     /// // Find the median
-    /// v.partition_at_index(2);
+    /// v.select_nth_unstable(2);
     ///
     /// // We are only guaranteed the slice will be one of the following, based on the way we sort
     /// // about the specified index.
@@ -2072,9 +2114,9 @@ impl<T> [T] {
     ///         v == [-3, -5, 1, 4, 2] ||
     ///         v == [-5, -3, 1, 4, 2]);
     /// ```
-    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[stable(feature = "slice_select_nth_unstable", since = "1.49.0")]
     #[inline]
-    pub fn partition_at_index(&mut self, index: usize) -> (&mut [T], &mut T, &mut [T])
+    pub fn select_nth_unstable(&mut self, index: usize) -> (&mut [T], &mut T, &mut [T])
     where
         T: Ord,
     {
@@ -2108,12 +2150,10 @@ impl<T> [T] {
     /// # Examples
     ///
     /// ```
-    /// #![feature(slice_partition_at_index)]
-    ///
     /// let mut v = [-5i32, 4, 1, -3, 2];
     ///
     /// // Find the median as if the slice were sorted in descending order.
-    /// v.partition_at_index_by(2, |a, b| b.cmp(a));
+    /// v.select_nth_unstable_by(2, |a, b| b.cmp(a));
     ///
     /// // We are only guaranteed the slice will be one of the following, based on the way we sort
     /// // about the specified index.
@@ -2122,9 +2162,9 @@ impl<T> [T] {
     ///         v == [4, 2, 1, -5, -3] ||
     ///         v == [4, 2, 1, -3, -5]);
     /// ```
-    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[stable(feature = "slice_select_nth_unstable", since = "1.49.0")]
     #[inline]
-    pub fn partition_at_index_by<F>(
+    pub fn select_nth_unstable_by<F>(
         &mut self,
         index: usize,
         mut compare: F,
@@ -2162,12 +2202,10 @@ impl<T> [T] {
     /// # Examples
     ///
     /// ```
-    /// #![feature(slice_partition_at_index)]
-    ///
     /// let mut v = [-5i32, 4, 1, -3, 2];
     ///
     /// // Return the median as if the array were sorted according to absolute value.
-    /// v.partition_at_index_by_key(2, |a| a.abs());
+    /// v.select_nth_unstable_by_key(2, |a| a.abs());
     ///
     /// // We are only guaranteed the slice will be one of the following, based on the way we sort
     /// // about the specified index.
@@ -2176,9 +2214,9 @@ impl<T> [T] {
     ///         v == [2, 1, -3, 4, -5] ||
     ///         v == [2, 1, -3, -5, 4]);
     /// ```
-    #[unstable(feature = "slice_partition_at_index", issue = "55300")]
+    #[stable(feature = "slice_select_nth_unstable", since = "1.49.0")]
     #[inline]
-    pub fn partition_at_index_by_key<K, F>(
+    pub fn select_nth_unstable_by_key<K, F>(
         &mut self,
         index: usize,
         mut f: F,
diff --git a/library/core/tests/slice.rs b/library/core/tests/slice.rs
index 5ef30b1a889..ac5c9353ccb 100644
--- a/library/core/tests/slice.rs
+++ b/library/core/tests/slice.rs
@@ -1571,7 +1571,7 @@ fn sort_unstable() {
 #[test]
 #[cfg(not(target_arch = "wasm32"))]
 #[cfg_attr(miri, ignore)] // Miri is too slow
-fn partition_at_index() {
+fn select_nth_unstable() {
     use core::cmp::Ordering::{Equal, Greater, Less};
     use rand::rngs::StdRng;
     use rand::seq::SliceRandom;
@@ -1597,7 +1597,7 @@ fn partition_at_index() {
                 // Sort in default order.
                 for pivot in 0..len {
                     let mut v = orig.clone();
-                    v.partition_at_index(pivot);
+                    v.select_nth_unstable(pivot);
 
                     assert_eq!(v_sorted[pivot], v[pivot]);
                     for i in 0..pivot {
@@ -1610,7 +1610,7 @@ fn partition_at_index() {
                 // Sort in ascending order.
                 for pivot in 0..len {
                     let mut v = orig.clone();
-                    let (left, pivot, right) = v.partition_at_index_by(pivot, |a, b| a.cmp(b));
+                    let (left, pivot, right) = v.select_nth_unstable_by(pivot, |a, b| a.cmp(b));
 
                     assert_eq!(left.len() + right.len(), len - 1);
 
@@ -1633,7 +1633,7 @@ fn partition_at_index() {
 
                 for pivot in 0..len {
                     let mut v = orig.clone();
-                    v.partition_at_index_by(pivot, sort_descending_comparator);
+                    v.select_nth_unstable_by(pivot, sort_descending_comparator);
 
                     assert_eq!(v_sorted_descending[pivot], v[pivot]);
                     for i in 0..pivot {
@@ -1654,7 +1654,7 @@ fn partition_at_index() {
     }
 
     for pivot in 0..v.len() {
-        v.partition_at_index_by(pivot, |_, _| *[Less, Equal, Greater].choose(&mut rng).unwrap());
+        v.select_nth_unstable_by(pivot, |_, _| *[Less, Equal, Greater].choose(&mut rng).unwrap());
         v.sort();
         for i in 0..v.len() {
             assert_eq!(v[i], i as i32);
@@ -1662,28 +1662,28 @@ fn partition_at_index() {
     }
 
     // Should not panic.
-    [(); 10].partition_at_index(0);
-    [(); 10].partition_at_index(5);
-    [(); 10].partition_at_index(9);
-    [(); 100].partition_at_index(0);
-    [(); 100].partition_at_index(50);
-    [(); 100].partition_at_index(99);
+    [(); 10].select_nth_unstable(0);
+    [(); 10].select_nth_unstable(5);
+    [(); 10].select_nth_unstable(9);
+    [(); 100].select_nth_unstable(0);
+    [(); 100].select_nth_unstable(50);
+    [(); 100].select_nth_unstable(99);
 
     let mut v = [0xDEADBEEFu64];
-    v.partition_at_index(0);
+    v.select_nth_unstable(0);
     assert!(v == [0xDEADBEEF]);
 }
 
 #[test]
 #[should_panic(expected = "index 0 greater than length of slice")]
-fn partition_at_index_zero_length() {
-    [0i32; 0].partition_at_index(0);
+fn select_nth_unstable_zero_length() {
+    [0i32; 0].select_nth_unstable(0);
 }
 
 #[test]
 #[should_panic(expected = "index 20 greater than length of slice")]
-fn partition_at_index_past_length() {
-    [0i32; 10].partition_at_index(20);
+fn select_nth_unstable_past_length() {
+    [0i32; 10].select_nth_unstable(20);
 }
 
 pub mod memchr {