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所在平台: Udemy |
课程主页: https://www.udemy.com/course/differentiation-part-3-mathematics-class-12-isc-cbse/
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Coursera 课程：《人工智能的微分深入理解》 本课程是数学教育者 Suman Mathews 老师主讲的微分系列第三部。Mathews 老师拥有数学双硕士学位，拥有三十多年的数学教学经验。本课程旨在帮助学员在学习积分学时更好地理解相关的微分概念。 **课程内容概述：** * **复合函数微分：** 学习如何对复合函数进行微分，这是本课程的关键概念。 * **隐函数微分：** 区分显函数与隐函数，并学习隐函数的微分方法。 * **对数微分：** 掌握处理“函数到函数的幂”这类问题的技巧，通过取对数再微分的方法进行求解。 * **行列式微分：** 学习按行或按列对行列式进行微分的方法。 * **二阶导数：** 理解二阶导数的概念，学习如何计算二阶导数，并将其应用于解方程（恒等式）。课程还提供公式总结。 * **（附加内容）恒等式求解：** 进一步学习利用二阶导数解决恒等式问题。 * **（附加内容）拉格朗日中值定理：** 学习拉格朗日中值定理及其在解决问题中的应用。 * **（附加内容）罗尔定理：** 学习罗尔定理并掌握其应用方法，课程提供客观题以巩固理解。 * **导数在圆锥和半圆柱中的应用：** 学习导数在几何形状问题中的实际应用。 本课程适合自我学习，鼓励学员与朋友一同加入，共同探索微分的奥秘。
Welcome to this course on Differentiation. This is the third series of my course on Differentiation. The concepts and problems explained in this course will help you immensely while learning Integral Calculus.I am Suman Mathews, mathematics educator and teacher. I have a double master's in Math and I have helped students achieve their goals in Maths for the past three decades. As you proceed with the course, take a pen and paper and practice the problems along with me.You start with learning how to differentiate composite functions. This is an extremely important concept for you to master. Progressing through the course, you'll learn Implicit functions next.So, what exactly is an Implicit function? How do you differentiate between an explicit and implicit function? Learn all this and how to differentiate Implicit Functions here.Moving on, you learn about logarithmic differentiation.Given a function to the power of another function, a simple trick to follow will be to apply log to both sides. You then differentiate both sides, using the concept learnt in Implicit Differentiation.You'll progress to learn how to differentiate Determinants. This can be done in two ways, either using row wise or column wise differentiation. Another extremely important concept you'll learn here is second order derivatives.Learn what are second order derivatives and how to evaluate them. You'll also learn how to solve identities using second order derivatives. Formulas that you've learnt are also given to you as a special feature.Bonus: Learn more about solving identities in Second order derivatives. Also , learn Lagrange's Mean Value theorem and it's applications in problem solving.You'll also learn about Rolle's Theorem and how to apply it in problem solving. Check out the objective questions for mastering this topic.Learn applications of Derivatives in Cone and Half Cylinder.A good self learning course for you here. You can encourage your friends to join this course. Join my road map for differentiation.
