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The Fundamental Theorem of Calculus connects two main concepts in calculus: differentiation (finding the derivative) and integration (finding the antiderivative). It is split into two parts, and together they show that these two operations are essentially inverses of each other. Part 1: Taking the derivative of an antiderivative (in other words, differentiating an integral) gives back the original function. Part 2: To evaluate a definite integral (an integral that has bounds on it), find the antiderivative and plug in the top bound and then subtract from that what you get when you plug in the lower bound. KEY TAKEAWAY: The derivative and the antiderivative are opposites. #Calculus #FundamentalTheoremOfCalculus #Differentiation #Integration #MathTheory #Mathematics #Antiderivatives #RateOfChange #AreaUnderTheCurve #STEM #MathEducation #MathIsFun #MathConcepts #LearnCalculus #CalculusHelp #Mathematics #MathForEveryone #MathTeacher #MathTutorial #Functions #MathEducation #MathExplained #MathSimplified #MathTips #LearningMath #MathTutor #EducationalResources
Baddie Professor, LLC836,000 Aufrufe • vor 2 Jahren
The first key step in using the chain rule is identifying the outer and inner function. I go into this in more detail in my last video. After you kmow your outer and inner functions, find the derivative of both of them. Then plug everything into the chain rule formula. WE ARE ALL HUMANS AND ARE CAPABLE OF MAKING SILLY MISTAKES, the key is to correct yourself :-) #Calculus #ChainRule #CompositeFunctions #MathTutorial #Differentiation #MathHelp #CalculusHelp #LearningMath #MathEducation #StudentSuccess #STEM #MathProfessor #MathTutor #Tutor #MathConcepts #Algebra #MathTips #Derivatives #Mathematics #AlgebraHelp #LearnMath #MathEducation #FunctionAnalysis #MathIsFun #MathTutorial #MathExplained #STEMEducation #MathSkills #Functions
Baddie Professor, LLC625,200 Aufrufe • vor 2 Jahren
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