svelte/documentation/docs/02-runes/03-$derived.md

title
$derived

Derived state is declared with the $derived rune:

<script>
	let count = $state(0);
	let doubled = $derived(count * 2);
</script>

<button onclick={() => count++}>
	{doubled}
</button>

<p>{count} doubled is {doubled}</p>

The expression inside $derived(...) should be free of side-effects. Svelte will disallow state changes (e.g. count++) inside derived expressions.

As with $state, you can mark class fields as $derived.

$derived.by

Sometimes you need to create complex derivations that don't fit inside a short expression. In these cases, you can use $derived.by which accepts a function as its argument.

<script>
	let numbers = $state([1, 2, 3]);
	let total = $derived.by(() => {
		let total = 0;
		for (const n of numbers) {
			total += n;
		}
		return total;
	});
</script>

<button onclick={() => numbers.push(numbers.length + 1)}>
	{numbers.join(' + ')} = {total}
</button>

In essence, $derived(expression) is equivalent to $derived.by(() => expression).