Well, these two are related fields, and learning Machine Learning first would be beneficial for you as you will be able to better understand the nuances of Deep learning effectively. It's entirely based on your preference and the organization you are working with, added to that if you don't have sufficient time, you could directly go for Deep Learning.
If you are aiming to get into the A.I. domain, what better way is there than getting yourself registered for the Artificial Intelligence course from Intellipaat which is a package of 32hrs online instructor-led training and 48hrs of project and exercises, to help gain the necessary hands-on experience.
Also, do check out our YouTube video on Deep Learning using TensorFlow in Python from our experts.
Want to master Machine Learning? Sign up for this Machine Learning Certification course!