Mathematical analysis #032 Differentiable function Differential Relationship between differential and derivative Properties of differential How to support the channel: Bitcoin: bc1qwzx9t9mz5h5q8sgtz74mdgedxd5wu0g9kq6q5m Ethereum: 0xAE872DcA8B135cf62Df4B36bE576a2EE64c6066a Regular donations (Boosty): https://boosty.to/trushinbv Regular donations (YouTube): https://www.youtube.com/trushinbv/join Regular donations (Patreon): / trushinbv Regular donations (Sponsr): https://sponsr.ru/trushinbv One-time donations (Yu-money, former Yandex.Money): https://yoomoney.ru/to/410011017613074 One-time donation (PayPal): https://paypal.me/boristrushin One-time donation (Donation Alerts): https://www.donationalerts.com/r/bori... One-time donation (Sberbank): 2202 2001 0398 5451 This academic year I am teaching three courses: ✔ "Preparation for the Unified State Exam in Profile Mathematics from 0 to 70 points (10-11 grades)": http://trushinbv.ru/ege70 Suitable for both tenth-graders who want to consistently solve problems at 70+ a year before the Unified State Exam, and eleventh-graders who know almost nothing, but want to get decent scores in a year. In the course, we will master both the entire test part and many problems from the difficult part of the Unified State Exam. ✔ "Preparation for the Unified State Exam in specialized mathematics from 60 to 100 points (grade 11)": http://trushinbv.ru/ege100 For those who already know mathematics at a basic level and want to master it to 90+ in a year. There, we will mainly learn to solve tasks from the difficult part of the Unified State Exam, but we will also delve a little into some meaningful tasks from the test part. (If an eleventh-grader is sufficiently motivated, they can study simultaneously on both of these courses – http://trushinbv.ru/egepack – their programs are coordinated with each other) ✔ “Preparation for the List Olympiads in Mathematics (10-11 grades)”: http://trushinbv.ru/olymp First of all, this course is for eleventh-graders who have mastered the standard school curriculum with at least a “B” and want to prepare for Olympiads such as Phystech, Lomonosov, OMMO and PVG in six months in order to try to get a diploma in at least one of them. In addition, my last year’s courses are available in recording: ✔ “Preparation for the OGE”: http://trushinbv.ru/oge9 This is a recording of a large annual course that I taught a couple of years ago. This year I will not have new courses for the 9th grade. ✔ Mini-courses on individual Unified State Exam tasks: Probability Theory from Scratch to the Unified State Exam (Tasks 3 and 4): http://trushinbv.ru/egeTV Equations and Inequalities (Tasks 12 and 14): http://trushinbv.ru/egeAL Stereometry (Task 13): http://trushinbv.ru/egeST Economic Problems (Task 15): http://trushinbv.ru/egeEC Planimetry (Task 16): http://trushinbv.ru/egePL Problems with a Parameter (Task 17): http://trushinbv.ru/egePR Number Theory (Task 18): http://trushinbv.ru/egeTC ✔ Mini-courses on listed Olympiads: Phystech Olympiad: http://trushinbv.ru/fizteh OMMO Olympiad: http://trushinbv.ru/ommo Olympiad Lomonosov and PVG: http://trushinbv.ru/lomonosov Other Foxford courses: http://trushinbv.ru/courses Foxford tutors: http://trushinbv.ru/coach Merchandise store: http://trushinbv.ru/shop Book by Trushin: http://trushinbv.ru/book VKontakte: https://vk.com/ege_trushin TikTok: / trushinbv Twitter: / trushinbv Instagram: / trushinbv Telegram: https://t.me/trushinbv Facebook: / trushinbv YouTube: / trushinbv Personal website: http://TrushinBV.ru