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In this lesson we will see an example of the study of an irrational function with an even index. In this type of function the independent variable appears as an argument of a root. We will see all the steps to be taken to draw the graph of the curve. Function study: The steps • FUNCTION STUDY All STEPS Even and Odd Functions: Symmetries of a Function • EVEN and ODD Function: Symmetries of... Derivative of a composite function - the chain rule: • Derivatives of COMPOSITE FUNCTIONS - Rule... Study of the sign of a function: • Study of the Sign of a Function - Sp... Study of the first derivative: • Study of the First Derivative of a Fu... Study of the second derivative: • Study of the Second Derivative of a ... The accurate graph of the function: https://www.desmos.com/calculator/ryu... SUMMARY: 0:00 - The steps 0:40 - Search for the domain 1:33 - Symmetries 2:12 - Intersections with the axes 3:42 - Study of the sign and limits 4:28 - First derivative and search for maximums and minimums 6:58 - Study of the points of non-differentiability 8:28 - Second derivative: inflections and concavities 9:57 - Drawing the graph ???? Would you like to take a lesson with me? Then contact me on Telegram at the username luiman_edu or send me an email at [email protected] We will organize a video call to get to know each other and to understand how to work together better. I'll be waiting for you ???? Watch the video with all the information about my lessons: • MATHEMATICS LESSONS (with Me!) [All...