OPTIMIZACIÓN: RECTANGULO INSCRITO EN PARÁBOLA !SALE en EBAU/PAU

Today at @ACADEMIADIEGO: An APPLICATION problem of DERIVATIVES, of OPTIMIZATION. The problem statement is as follows: Calculate the dimensions of the rectangle with the largest area that can be inscribed with a base on the horizontal axis bounded by the curves y^2=8x, x=4. What is the area? It is explained step by step to facilitate understanding. I hope it helps you with your studies, and if so, please leave a comment. 00:00 INTRO 00:27 Reading the exercise and initial setup 00:47 Graphical representation of the functions 02:25 Finding the equation to optimize (AREA OF THE RECTANGLE) 03:17 Differentiating 04:49 Grouping 06:13 Setting equal to zero and solving for the variable "x". 07:58 Calculating the area. 08:14 Final recommendations and farewell. MORE EXERCISES ON THIS TOPIC HERE STEP-BY-STEP EXERCISES on DERIVATIVES and their APPLICATIONS _ To see more videos on APPLICATIONS of DERIVATIVES from my channel, visit:    • Aplicaciones de las DERIVADAS. Ejercicios ...   _ If you need to see more videos on DERIVATIVES from my channel, visit:    • DERIVADAS RESUELTAS PASO A PASO   IF YOU WOULD LIKE TO SUPPORT MY CHANNEL, YOU CAN MAKE A DONATION HERE: https://paypal.me/academiadiego?local... THANK YOU VERY MUCH IN ADVANCE If you found this video interesting, give it a LIKE and if Don't miss any updates from my channel... SUBSCRIBE: https://www.youtube.com/subscription_... Follow me on INSTAGRAM:   / academiadiegomurcia   Follow me on TWITCH:   / academia_diego   Follow me on TIKTOK:   / academiadiego   To see the CATALOG of all videos, visit... https://sites.google.com/view/academi... If MATH is your problem Academia DIEGO is your solution Optimization and related rates problems Optimization problems Maximum and minimum optimization problems Differential calculus optimization problems (PDF) Optimization problems for 2nd year of high school (Social Sciences) (PDF) Optimization problems 2nd year of high school social sciences Optimization problems for 2nd year of high school university entrance exams (PDF) Solved optimization problems for 2nd year of high school university entrance exams Solved optimization problems for 1st year of high school (PDF) Solved optimization problems for 2nd year of high school (PDF) Algebraic and geometric optimization problems Optimization problems for 2nd year of high school social sciences Optimization problems for 1st year of high school social sciences Optimization problems in mathematical analysis Solving optimization problems Solved optimization problems for 2nd year of high school Optimization problems and related rates Optimization problems - functions of several variables Optimization problems for 2nd year of high school Optimization exercises for 2nd year of high school social sciences Optimization problems: maxima and minima with derivatives Optimization problems for 1st year of high school social sciences (PDF) How to solve optimization problems with derivatives Solved optimization problems PDF Geometric optimization problems How to solve optimization problems Types of optimization problems Optimization problems for high school (PDF) Optimization problems with derivatives Application of derivatives in everyday life Application of derivatives in systems engineering Application of derivatives in chemical engineering Application of derivatives in economics: solved exercises Application of derivatives in economics: conclusion Application of derivatives in everyday life: examples Application of trigonometric derivatives in everyday life Application of derivatives Application of derivatives: solved exercises Problems involving the application of derivatives Examples of the application of derivatives