Limit Definition of the Derivative | Calculus Lesson 8 - JK Math

Описание: How to Use the Limit Definition of the Derivative (Calculus Lesson 8)

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In this lesson we learn about the derivative and the tangent line problem and solve it using a limit definition. We look at slope of a tangent line and a secant line as we discuss how to determine the slope at any point on a function, which we call the derivative. We then use our limit definition to find derivatives of simple functions. Additionally, we briefly discuss how some points on functions are not differentiable and why that may be.

This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes!

Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first!

Video Chapters:
0:00 The Tangent Line Problem
4:23 Using the Slope of a Secant Line
5:49 Finding the Slope of a Tangent Line
8:32 Example 1 - Finding a Derivative Using the Limit Definition
12:16 Example 2 - Finding a Derivative and Slope at a Point
16:08 Differentiability - Points that are Non-Differentiable
17:43 Differentiability vs Continuity


📝 Examples Video:    • Derivatives Using The Limit Definition Exa...  

⏩ Next Lesson:    • Basic Derivative Rules | Calculus Lesson 9...  

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#calculus

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