Clean and scrape off the carrot, by using a potato peeler or a knife. You can also grate the carrot by using a food processor or a grater.
Place a pot on a low heat and add coconut oil or any oil (I recommend coconut/extra olive oil/olive oil) you're using in the pot, add the grated carrot. You can also use a slow cooker to infuse the carrot oil. The point of using low heat or slow cooker is not to cook the nutrients in the carrot.
Mix the shredded carrot with oil and let the carrot absorb all the oil.
Leave the mixture for about 15 - 20 minutes, check and stir.
Allow the carrot to infuse for another 10 minutes.
Take it off the heat and let it cool down.
strain the oil by using a sieve to separate the oil, and bottle it up. Your carrot oil is ready. After you're done and you're ready to use the carrot oil you can mix it with a few drops of essential oil like rosemary, lavender oil, Vitamin E... you can add the carrot oil to your body/ hair cream, or shea butter.
If you want your carrot oil in a small quantity you can use 1 big stick of carrot and about half a cup of oil.
Update: To clean: scrap off the outer part and rinse the carrot, allow the water to drain off and dry before grating the carrots for use.