In these moments, the first and best thing we can do is engage God in conversation. In Psalm 5:1-3 David is crying out to God in the morning:

¹ Listen to my words, Lord,
consider my lament.
² Hear my cry for help,
my King and my God,
for to you I pray.
³ In the morning, Lord, you hear my voice;
in the morning I lay my requests before you
and wait expectantly. (NIV)

Be assured, God hears your heart and He understands morning mumblings.

As believers, we do have a source of energy that goes beyond physical rest. A common verse that people reference is Isaiah 40:29-31:

²⁹ He gives strength to the weary
and increases the power of the weak.
³⁰ Even youths grow tired and weary,
and young men stumble and fall;
³¹ but those who hope in the Lord
will renew their strength.
They will soar on wings like eagles;
they will run and not grow weary,
they will walk and not be faint. (NIV)

While affirming the truth of this passage, we should be wary of using this verse to oversimplify people's challenges. Often, this verse is quoted as a quick fix for any difficulty, implying that if we just have enough faith, our struggles will go away. Unfortunately, when many people hear this verse, it generates guilt or shame and further burdens.

That said, be assured.

God is our refuge and strength,
an ever-present help in trouble.     
Psalm 46:1 (NIV)

Waking up tired is simply a flag from your body that something is out of balance. The reason for your lack of rest determines your next steps. It could be as simple as heading off to bed earlier tonight or eliminating screen usage in the late evening. Another very common reason is that you are a parent of young children. However, there could be more serious reasons, such as sleep apnea or mental health challenges, and if so, you should seek help.  

In all these situations, we should lean on each other. Colossians 3:12 reminds us to love each other with compassion, kindness, humility, gentleness, and patience. You don’t have to face whatever you are facing alone.