Well, both designers have different priorities. UX designers focus on usability whereas product designers focus on their process, business, cost, and brand. A UX designer will actually try to identify the problems whereas the product designer will try to propose solutions to problems. Both fields are having booming careers. If you are planning to learn these technologies first I recommend you to take up this UI UX Certification course from Intellipaat this course not only helps in providing all the required skills but also helps in getting placed in interviews through its highly recognized certificate.
Before that do check out this free UI/UX course video offering by Intellipaat -