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所在平台: Udemy |
课程主页: https://www.udemy.com/course/differentiability-2-isc-cbse-class-12-mathematics/
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**课程名称：AI中微分学的应用：理解微分学的基石** **课程概述：** 本课程是Coursera上“微分学导论”的第二部分，旨在帮助那些对微分学感到困惑的学习者。由拥有数学双硕士学位并拥有三十年数学教学经验的Suman Mathews主讲。 **课程内容：** * **复合函数求导：** 学习如何简便地应用链式法则。 * **反三角函数求导：** 掌握通过代入法简化反三角函数以进行求导的技巧，并通过大量实例进行讲解。 * **隐函数求导：** 学习隐函数的概念及其求导方法，核心在于对等式两边同时进行微分。 * **重点讲解：** 隐函数微分法将得到详细的阐述。 * **练习与测试：** 包含一次作业和一次包含多项选择题的小型测试，以巩固所学知识。 **附加内容（Bonus）：** * **洛必达法则：** 学习如何运用微分学来求解不定式极限。 * **导数的应用：** 探讨导数作为速率衡量值的应用。 **课程目标：** 帮助学习者掌握微分学的重要概念和技巧，为理解其在人工智能等领域的应用打下坚实基础。 **适合人群：** 对微分学感到吃力，希望提升数学能力，或者对微分学在AI中的应用感兴趣的学习者。 **学习建议：** 建议先完成“微分学导论”的第一部分，该部分为免费课程。
Has Differential Calculus baffled you? Hi and Welcome to Differentiation Part 2. I am Suman Mathews.I have a double Master's in Mathematics and I've taught Maths for three decades at the high school and college level. Trust me. I know exactly what it takes to boost up your math scores. I have explained the basics of Differentiation in Part 1 of Differentiation.If you like you can enrol for Part 1 of he course. it's free! So, we start with going over the derivatives of Composite Functions.You learn how to apply Chain Rule in a simple way. Moving on, you'll learn about how to incorporate differentiation of Inverse Trigonometric functions. The trick here, is to substitute and make the function simple.A number of problems have been incorporated here and solved for your understanding. You'll learn what are Implicit Functions and how to differentiate them. The trick here is to just differentiate both sided of the equation.Implicit Differentiation is explained quite in detail here. There is also an Assignment and a small test on multiple choice questions on what you've learnt so far. I hope this has served your purpose of learning Differentiation.Bonus: Learn about L-Hospital's rule in Indeterminate form of limits. This lesson shows you how we use Differentiation in evaluating special limits. Applications of Derivatives, ie Derivative as a Rate Measure is also discussed here.Get inspired and enrol for this course. Remember, a journey of a thousand miles begins with one step! Thank you!
