fixes

Author: alexwolfmsft

docs/azure/sdk/authentication/index.md

@@ -37,7 +37,7 @@ The specific type of token-based authentication an app should use to authenticat
 When an app is:
 
 - **Hosted on Azure**: The app should authenticate to Azure resources using a managed identity. This option is discussed in more detail at [authentication in server environments](#authentication-for-azure-hosted-apps).
-- **Running locally during development**: The app can authenticate to Azure using either an application service principal for local development or by using the developer's Azure credentials. Each option is discussed in more detail at [authentication during local development](#authentication-during-local-development).
+- **Running locally during development**: The app can authenticate to Azure using a [developer account](local-development-dev-account.md), a [broker](local-development-broker.md), or a [service principal](local-development-service-principal.md). Each option is discussed in more detail at [authentication during local development](#authentication-during-local-development).
 - **Hosted on-premises**: The app should authenticate to Azure resources using an application service principal, or a managed identity in the case of Azure Arc. On-premises workflows are discussed in more detail at [authentication in server environments](#authentication-for-apps-hosted-on-premises).
 
 ## Authentication for Azure-hosted apps

docs/azure/sdk/authentication/local-development-dev-accounts.md

@@ -66,7 +66,7 @@ Developers using Visual Studio Code can authenticate with their developer accoun
 
 ### [Azure CLI](#tab/sign-in-azure-cli)
 
-Developers can also use the [Azure CLI](/cli/azure/what-is-azure-cli) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential>` or <xref:Azure.Identity.AzureCliCredential> can then use this account to authenticate app requests when running locally.
+Developers can use [Azure CLI](/cli/azure/what-is-azure-cli) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential>` or <xref:Azure.Identity.AzureCliCredential> can then use this account to authenticate app requests when running locally.
 
 To authenticate with the Azure CLI, run the `az login` command. On a system with a default web browser, the Azure CLI launches the browser to authenticate the user.
 
@@ -82,7 +82,7 @@ az login --use-device-code
 
 ### [Azure Developer CLI](#tab/sign-in-azure-developer-cli)
 
-Developers can also use the [Azure Developer CLI](/azure/developer/azure-developer-cli/overview) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential> or <xref:Azure.Identity.AzureDeveloperCliCredential> can then use this account to authenticate app requests when running locally.
+Developers can use [Azure Developer CLI](/azure/developer/azure-developer-cli/overview) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential> or <xref:Azure.Identity.AzureDeveloperCliCredential> can then use this account to authenticate app requests when running locally.
 
 To authenticate with the Azure Developer CLI, run the `azd auth login` command. On a system with a default web browser, the Azure Developer CLI launches the browser to authenticate the user.
 
@@ -98,7 +98,7 @@ azd auth login --use-device-code
 
 ### [Azure PowerShell](#tab/sign-in-azure-powershell)
 
-Developers can also use [Azure PowerShell](/powershell/azure/what-is-azure-powershell) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential> or <xref:Azure.Identity.AzurePowerShellCredential> can then use this account to authenticate app requests when running locally.
+Developers can use [Azure PowerShell](/powershell/azure/what-is-azure-powershell) to authenticate. Apps using <xref:Azure.Identity.DefaultAzureCredential> or <xref:Azure.Identity.AzurePowerShellCredential> can then use this account to authenticate app requests when running locally.
 
 To authenticate with Azure PowerShell, run the command `Connect-AzAccount`. On a system with a default web browser and version 5.0.0 or later of Azure PowerShell, it launches the browser to authenticate the user.