@baddieprofessor: Mathematicians first found how to find a derivative using the limit definition and then the shortcut rules developed. The valuable part about learning the limit definition is that it clearly shows how the derivative is the slope of the tangent line to the function at that point. Once the concept of derivatives was established using this limit definition, mathematicians developed shortcut rules (such as the power rule, product rule, quotient rule, and chain rule) to make it easier to compute derivatives without always going back to the limit definition. These rules allow for faster and more efficient calculations of derivatives for a wide variety of functions. #Calculus #Derivatives #LimitDefinition #MathShortcuts #MathHelp #Mathematics #Differentiation #PowerRule #ChainRule #Education #MathTutoring #STEM #MathExplained #LearnMath #MathCommunity #LearnCalculus #CalculusHelp #MathForEveryone #MathTeacher #MathTutorial #Functions #MathSimplified #MathTips #LearningMath #MathTutor #Educational Resources #TangentLine #SecantLine #MathConcepts #MathHistory

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Thursday 03 October 2024 20:36:26 GMT