Feat/add tavily tools (#10567)

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## Background

Tavily provides a suite of web-access tools trusted by over 800K
developers worldwide. We're excited to announce our new Vercel AI SDK
integration package (https://www.npmjs.com/package/@tavily/ai-sdk) which
will allow developers to build Tavily-powered agents on Vercel AI SDK
v5.

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## Summary

This PR adds Tavily tools to the new Vercel agent registry and
tool-calling documentation.

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## Checklist

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- [ ] Tests have been added / updated (for bug fixes / features)
- [x] Documentation has been added / updated (for bug fixes / features)
- [ ] A _patch_ changeset for relevant packages has been added (for bug
fixes / features - run `pnpm changeset` in the project root)
- [ ] I have reviewed this pull request (self-review)

---------

Co-authored-by: vercel[bot] <35613825+vercel[bot]@users.noreply.github.com>
Co-authored-by: nicoalbanese <[email protected]>

Author: 3 people

content/cookbook/05-node/56-web-search-agent.mdx

@@ -161,6 +161,39 @@ const { text } = await generateText({
 console.log(text);
 ```
 
+#### Tavily
+
+<Note>
+  Get your API key from the [Tavily Dashboard](https://app.tavily.com).
+</Note>
+
+First, install the `tavilySearch` tool:
+
+```bash
+pnpm install @tavily/ai-sdk
+```
+
+Then, you can import and pass it into `generateText`, `streamText`, or your agent:
+
+```ts
+import { generateText, stepCountIs } from 'ai';
+import { tavilySearch, tavilyExtract } from '@tavily/ai-sdk';
+
+const { text } = await generateText({
+  model: 'anthropic/claude-sonnet-4.5',
+  prompt: 'When was the latest update to the AI SDK?',
+  tools: {
+    webSearch: tavilySearch(),
+    webExtract: tavilyExtract(),
+  },
+  stopWhen: stepCountIs(3),
+});
+
+console.log(text);
+```
+
+For more customization options over your agent's web-access functionality, visit the [Tavily AI SDK Documentation](https://docs.tavily.com/documentation/integrations/vercel).
+
 ### Build and use custom tools
 
 For more control over your web search functionality, you can build custom tools using web scraping and crawling APIs. This approach allows you to customize search parameters, handle specific data formats, and integrate with specialized search services.

content/docs/02-foundations/04-tools.mdx

@@ -150,6 +150,7 @@ These packages provide pre-built tools you can install and use immediately:
 
 - **[@exalabs/ai-sdk](https://www.npmjs.com/package/@exalabs/ai-sdk)** - Web search tool that lets AI search the web and get real-time information.
 - **[@parallel-web/ai-sdk-tools](https://www.npmjs.com/package/@parallel-web/ai-sdk-tools)** - Web search and extract tools powered by Parallel Web API for real-time information and content extraction.
+- **[@tavily/ai-sdk](https://www.npmjs.com/package/@tavily/ai-sdk)** - Search, extract, crawl, and map tools for enterprise-grade agents to explore the web in real-time.
 - **[Stripe agent tools](https://docs.stripe.com/agents?framework=vercel)** - Tools for interacting with Stripe.
 - **[StackOne ToolSet](https://docs.stackone.com/agents/typescript/frameworks/vercel-ai-sdk)** - Agentic integrations for hundreds of [enterprise SaaS](https://www.stackone.com/integrations) platforms.
 - **[agentic](https://docs.agentic.so/marketplace/ts-sdks/ai-sdk)** - A collection of 20+ tools that connect to external APIs such as [Exa](https://exa.ai/) or [E2B](https://e2b.dev/).

content/tools-registry/registry.ts

@@ -118,6 +118,38 @@ console.log(text);`,
     websiteUrl: 'https://parallel.ai',
     npmUrl: 'https://www.npmjs.com/package/@parallel-web/ai-sdk-tools',
   },
+  {
+    slug: 'tavily',
+    name: 'Tavily',
+    description:
+      'Tavily is a web intelligence platform offering real-time web search optimized for AI applications. Tavily provides comprehensive web research capabilities including search, content extraction, website crawling, and site mapping to power AI agents with current information.',
+    packageName: '@tavily/ai-sdk',
+    tags: ['search', 'extract', 'crawl'],
+    apiKeyEnvName: 'TAVILY_API_KEY',
+    installCommand: {
+      pnpm: 'pnpm install @tavily/ai-sdk',
+      npm: 'npm install @tavily/ai-sdk',
+      yarn: 'yarn add @tavily/ai-sdk',
+      bun: 'bun add @tavily/ai-sdk',
+    },
+    codeExample: `import { generateText, gateway, stepCountIs } from 'ai';
+import { tavilySearch } from '@tavily/ai-sdk';
+
+const { text } = await generateText({
+  model: gateway('google/gemini-3-pro-preview'),
+  prompt: 'What are the latest developments in agentic search?',
+  tools: {
+    webSearch: tavilySearch,
+  },
+  stopWhen: stepCountIs(3),
+});
+
+console.log(text);`,
+    docsUrl: 'https://docs.tavily.com/documentation/integrations/vercel',
+    apiKeyUrl: 'https://app.tavily.com/home',
+    websiteUrl: 'https://tavily.com',
+    npmUrl: 'https://www.npmjs.com/package/@tavily/ai-sdk',
+  },
   {
     slug: 'firecrawl',
     name: 'Firecrawl',