Click on the App launcher and select the "Tasks" icon. On the left side you will see the action button "New task". From the dropdown you can now choose between "New email", "New appointment" and "New contact".  Fill out the subject line and enter a description of the task. 

Select the task list that you'd like to share with someone and click the "Actions for tasks" icon   on the right. Select "Share/Permissions" from the dropdown menu.  Decide if you want to invite people by email or share a link. To invite people via email type in a name or email address in the "Invite people" box. Then click "Viewer" and select the level of permissions you'd like to assign to the person you are sharing your task with. You can also type a message if you'd like and click "Save". The person you shared your Task with will receive an email with a link to view it. To share a link, select "Anyone with the link and invited people" from the dropdown menu and click "Copy link". You can share the link via email, text, instant message, or any other way you communicate. 

Click on the App launcher and select the "Task" icon from the dropdown menu bar. Click on the "Edit" icon in the toolbar. Make the required changes and click the save button at the bottom.

To create a task and assign it to someone click "New task". Then click "Expand form" to open additional options. Type in the persons name or email address or select them from the address book in the Participants box. Add the rest of the task details and then click "Create". The person you added will now receive an email with the task.