The xSemaphoreCreateMutex() function creates a mutex semaphore and returns a handle to it. If creation fails, it returns NULL. After creation, tasks use xSemaphoreTake() to lock the mutex before accessing shared resources, ensuring exclusive access. Once done, tasks call xSemaphoreGive() to release the mutex, allowing other tasks to take it. This mechanism prevents data corruption by serializing access. The execution table shows each step from creation to release, and the variable tracker follows the mutex handle state. Beginners should always check for NULL after creation and understand that taking a mutex blocks if already taken. Giving the mutex back is essential to avoid deadlocks.