Master the essential concepts of differential calculus and develop expertise in analyzing rates of change and solving optimization problems. In this comprehensive course, you'll learn to calculate derivatives from first principles, apply advanced differentiation rules including product, quotient, and chain rules, and use implicit differentiation to handle complex equations with interdependent variables.
Differential Calculus Fundamentals
您将学到什么
Calculate derivatives from first principles and apply product, quotient, and chain rules to differentiate complex functions systematically.
Use implicit differentiation to handle equations with interdependent variables and compute higher-order derivatives for function analysis.
Identify and interpret maxima, minima, and inflection points using derivative tests to solve optimization problems effectively.
Apply differential calculus techniques to analyze rates of change and model real-world phenomena in data science and engineering contexts.
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最近已更新！
February 2026
作业
8 项作业
授课语言：英语（English）
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该课程共有4个模块
This module introduces you to the concept of derivatives, helping you understand how rates of change are represented graphically and calculated from first principles. Through readings and hands-on examples, you will begin applying derivatives to simple functions and real-world scenarios.
涵盖的内容
3个视频11篇阅读材料2个作业
This week you will explore the product, quotient, and chain rules to differentiate more complex functions. Applying these rules through guided examples and by solving increasingly challenging problems you will gradually build your confidence.
涵盖的内容
2个视频9篇阅读材料2个作业1个插件
The focus this week will shift to implicit differentiation, where you will learn to handle equations with interdependent variables. Activities include solving higher-order derivatives and applying the technique to practical problems.
涵盖的内容
2个视频9篇阅读材料2个作业1个插件
This module covers maxima, minima, and inflection points, showing you how to identify and interpret them using derivatives. You will apply these concepts to optimization problems and explore their relevance in data-driven decision-making.
涵盖的内容
2个视频6篇阅读材料2个作业1个插件
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