Prove This Looks Easy But Isn't: x⁴ - x + 1/2 Is Always Positive for ALL Real Numbers скачать в хорошем качестве

Prove This Looks Easy But Isn't: x⁴ - x + 1/2 Is Always Positive for ALL Real Numbers

This video explains how to prove that the algebraic expression is positive. Firstly we find the critical point of a function defined by the algebraic expression via the first derivative. Then we prove that the critical point is a minimum point of the function via the second derivative. Finally, we prove that the minimum value of the function is greater than zero. Prove that the algebraic expression is positive Using the first and second derivatives Learning how to find the minimum value of an objective function Determine the minimum value of an algebraic expression Finding the minimum value of an algebraic expression For more questions, solutions, tips and methods like this, please visit Maths Enhancer's Class:    / @mathsenhancersclass   Recommended playlists: {Algebraic expressions}    • Algebraic expressions   {Analysis}    • Analysis   {Find the maximum or the minimum}    • Maxima/minima   {Inequalities}    • Inequalities   #MathsEnhancer #MathematicalOlympiad #MathematicalCompetition #ChallengingMathematicsProblems #MathematicsCompetition #EnhanceMathematicsProblemSolvingSkills #Mathematics #ImproveMathematicsGrades Mathematical challenges Math Olympiad challenges Challenging mathematics problems Enhance mathematics problem solving skills Mathematical competition questions Mathematics competition questions Improve mathematics grades Olympics math Olympics maths Olympics mathematics Olympics math competition Math Olympiad training International Mathematical Olympiad questions and solutions International Mathematical Olympiad questions and answers How to solve Olympiad question How to solve International Mathematical Olympiad question How to solve Olympiad Mathematics Question How to prepare for Maths Olympiad How to prepare for Math Olympiad Olympiad mathematics competition Math Olympiad