Derivative (No. 8, 12) in the 2024 Unified State Exam in Mathematics All theory and solution of FIPI prototypes

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Tasks here: https://1.shkolkovo.online/public-sto... You can CLICK before the Unified State Exam and Basic State Exam for FREE❗ 🔥 What to do: ✔Send the link to all your friends 👇 https://t.me/+1x9ykoHt6H00NWQy ✔Wait for secret information about connecting courses ✔Get courses for free :) Summer vacation as a 🎁GIFT? Easy! For those who connect to the Time of the First - Summer course is a bonus 👇 🏁Unified State Exam: https://3.shkolkovo.online/vremya-per... 🏁Basic State Exam: https://3.shkolkovo.online/vremya-per... 🏁10th grade: https://3.shkolkovo.online/vremya-per... ❗HURRY UP: the price for VP will increase on June 9th 😱 🎯 Spin the roulette and get an additional discount 👉🏻https://3.shkolkovo.online/fortune?ut... 💸Find out more about how to save money here ⬇ https://3.shkolkovo.online/vozvrat-nd... All our current promotions and discounts 👉🏻 https://3.shkolkovo.online/special?ut... 🤩Feedback from our students👉🏻 https://2.shkolkovo.online/reviews?ut... Telegram channel on mathematics with MO👉🏻 https://t.me/MO_EGE VK group👉🏻https://vk.com/shkolkovo_math 💥 Subscribe to notifications and mailing of useful materials VK👉🏻 https://vk.com/app5898182_-185634090#... Our channels: ✔️Olympiad mathematics with DA: https://shkolkovo.info/yt1 ✔️ Physics with AB: https://shkolkovo.info/yt2 ✔️ Preparation for the OGE for all subjects: https://shkolkovo.info/yt4 ✔️ Social Science with MV: https://shkolkovo.info/yt5 ✔️ Biology with EB: https://shkolkovo.info/yt6 ✔️ Biology and Chemistry Mutagen: https://shkolkovo.info/yt7 ✔️ Easy-USE Mathematics with Ali: https://shkolkovo.info/yt9 ✔️ Mathematics with MO and Russian language with TA (Shkolkovo Main Channel): https://shkolkovo.info/yt10 ✔️ Maxim Koval. Vlog of a math teacher: https://shkolkovo.info/yt11 ✔️ Economics. Shkolkovo Olympiads: https://shkolkovo.info/yt12 ✔️Physics OGE with GK: https://shkolkovo.info/yt13 ✔️History with AB: https://shkolkovo.info/pf ✔️English with SS: https://shkolkovo.info/pg ✔️Computer Science BU: https://shkolkovo.info/tn ✔️Social Science OGE: https://shkolkovo.info/xj 00:00 Beginning. Very little theory! 07:24 Equation of a straight line. Relationship between the angular coefficient and the tangent of the angle of inclination of a straight line. 11:52 Intuitive concept of derivative. 17:05 Relationship between the sign of the derivative and the graph of the function. 21:47 Points of local extremum. 27:11 Comparing the values ​​of the derivative based on the graph of a function. 33:33 The tangent to the graph of a function and its relationship with the derivative. 37:21 Practicing with examples. How to sketch the graph of the derivative based on the graph of a function? 43:25 Feedback: constructing a sketch of the graph of a function based on the graph of the derivative. 48:11 Summarizing the theory. 50:45 Problem 1. Intervals of increasing function on the graph of the derivative. 53:47 Problem 2. The tangent to the graph of a function is given! 1:01:00 Problem 3. The tangent is parallel to some line. The condition for lines to be parallel. 1:09:00 Problem 4. Points with a positive derivative. 1:12:44 Problem 5. Maximum points on the graph of the derivative. 1:18:00 Problem 6. The point with the maximum value of the function with the graph of the derivative. 1:21:25 Problem 7. Now we see the graph of the derivative, let's try to understand something about the tangent. 1:26:00 Problem 8. There is not even a derivative! A straight line parallel to the Ox-axis. 1:27:53 Problem 9. Antiderivative. Do we already know everything about it? 1:33:58 Table of derivatives. Rules for taking the derivative. Derivative of a composite function. 1:50:45 Problem 19. The greatest value of a function on a segment. 2:01:00 Problem 22. Function with a trigonometric term. 2:06:12 Let's sum it up. What prototypes are still worth solving?

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