✏️בעיות קיצון | כיתה י 5 יחידות | בפונקציות וגרפים תרגול 4

📌What's in the video: In this video, we will practice a complete solution to a complex extremum problem in functions and graphs that is adapted to the level of 5 study units in grade 10. We will learn how to use the auxiliary variable notation t to express the rates of points on various parabolas in the system of axes. We will see step by step how to express the lengths of vertical and horizontal segments by subtracting the rates of x and subtracting the rates of y. Next, we will construct the objective function for the area of ​​a trapezoid and use the formula of the sum of the bases times the height divided by two. Finally, we will perform a derivative and equal to zero to find the maximum extremum value and verify it using the second derivative and a table. 📌 Link to the question in the video: https://drive.google.com/file/d/1GRu7... 💬 Join our community on Discord - for questions, answers and guidance: 🔗   / discord   🌐 Our website:https://kibinimatika.org 🔗 For all our study groups and community: https://kibinimatika.org/groop 📚 Our groups on Telegram:https://t.me/ovadgroups 🔥 Oved Lev Ari's update channel: https://whatsapp.com/channel/0029VbAD... 🧮The link For the playlist:    • בעיות קיצון גיאומטריות-שטח טרפז-כיתה י 4-5...   Like, comment, and subscribe to the channel to help the content reach more students! Click the bell 🔔 to stay updated on every new video! Time distribution: 00:08 - Introduction and presentation of the given functions 01:05 - Defining the variable t and marking the rates of point A 02:44 - Finding the rates of points B and C on the graph 04:05 - Section A: Expressing the lengths of the segments AC, CO and AB 06:22 - Section B: Constructing the objective function for the area of ​​the trapezoid 09:15 - Differentiating the objective function and comparing it to zero 11:54 - Checking the maximum point using the second derivative and a table #Extreme_Problems #Mathematics5Units #Grade_10 #Graph_Functions #Working_with_Lev_Ari #LearningMathematics#High School#Students#WorkingWithLevAri