I am so happy to see you just published your first course! This is a huge stepstone for all starting instrcutors, so congratulations! Here are some useful tips to market your course!
You can find here an overview of all the webinars we were hosting in the Community: https://community.udemy.com/t5/First-time-course-creation/Webinar-Recordings/m-p/125147
Best Instructor Posts of All Time — Marketing: https://community.udemy.com/t5/Marketing/Best-Instructor-Posts-of-All-Time-Marketing/td-p/31077
How you can market your course: https://teach.udemy.com/marketing/use-external-marketing-tools/
Improve your course’s search results: https://teach.udemy.com/marketing/course-landing-page-keyword-exercise/
Establish your credibility with reviews: https://teach.udemy.com/marketing/establish-your-credibility-with-reviews/
Make the most of coupons and referrals: https://teach.udemy.com/marketing/make-the-most-of-coupons-and-referral-links/
Engage with your learners: https://teach.udemy.com/marketing/reach-out-to-your-students/
I hope this helps and good luck with your course!
Udemy Community Team