What is a DERIVATIVE?
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➡️ Learn real Calculus, starting from scratch (pre-calculus) to advanced level! Click here and join Dominando o Cálculo: https://www.temciencia.com.br The derivative is one of the most important concepts in calculus, and one of the most useful too. In this video, continuing the series on Calculus that began with the video on limits, we will explore the intuitive side of what a derivative means, and then talk about its rigorous definition using limits. We will also calculate some simple derivatives in practice in an analytical way, and at the end we will have another view of what a derivative is, in addition to the traditional view of the slope of the tangent line: in fact, the derivative is the linear transformation that best approximates the function around a given point. ????*Recommended Reading* The Power of Infinity (Steven Strogatz) https://amzn.to/3NCa4hU ????*Recommended Calculus Books:* Stewart: Calculus (Volume 1) https://amzn.to/3FWCzm9 Stewart: Calculus (Volume 2) https://amzn.to/3nndQB4 Apostol: Calculus - Volume 1: Calculus with Functions of One Variable, with an Introduction to Linear Algebra https://amzn.to/3lD4ukc Apostol: Calculus II: Calculus with Functions of Several Variables and Linear Algebra, with Applications to Differential Equations and Probability https://amzn.to/3njA3zP Spivak: Calculus https://amzn.to/3lNfJX2 Courant: Introduction to Calculus and Analysis (Volume I) https://amzn.to/42NvTRc Courant: Introduction to Calculus and Analysis (Volume II/1) https://amzn.to/3LVaRtD Courant: Introduction to Calculus and Analysis (Volume II/2) https://amzn.to/40kWyCW affiliate links: when you purchase, a small percentage is donated to the channel with no price increase for you ????*Become a member* and help me continue producing this type of content: https://www.youtube.com/temciencia/join ????*Support* by PIX: [email protected] ✉️ Contact and Partners: [email protected] ????*Recommended videos*: ???? LIMIT: the Fundamental Idea of Calculus • LIMIT: the Fundamental Idea of Calculus... ???? WHY IS CALCULUS SO HARD? (Or not) • WHY IS CALCULUS SO HARD? (Or not) Script, presentation and editing: Daniel Nunes My Instagram: /tem.ciencia
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