Calculus 1 Fundamentals: Limits & Derivatives | Tanmay Varshney | Skillshare

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# Calculus 1 Fundamentals: Limits & Derivatives

## Watch this class and thousands more

Taught by industry leaders & working professionals
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## Watch this class and thousands more

Taught by industry leaders & working professionals
Topics include illustration, design, photography, and more

### Lessons in This Class

18 Lessons (2h 51m)

3:22

0:51

4:11

8:17

8:53

7:36

15:38

6:01

8:03

15:36

19:10

0:42

9:07

9:07

10:01

11:32

14:09
• ### 18. Miscellaneous examples-Derivatives

19:09
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Master the building blocks of Calculus:  Limits & Derivatives

Section 1 - LIMITS

• Concept of LimitsFor making you familiar with the notion of the Limit.
• Existence of Limits: Introduction to the Left-Hand Limit and the Right-Hand Limit.
• Algebra of Limits: Addition, Subtraction, Multiplication, and Division in Limits.
• L’Hospital Rule: A handy tool to circumvent the common indeterminate forms when computing limits.
• The Sandwich Theorem: To evaluate limits of functions that can't be computed at a given point.
• Limits of Trigonometric Functions: To cover the important limit identities of trigonometric functions.
• Limits at Infinity: To evaluate limits at points tending to positive and negative infinity.

Section 2 - DERIVATIVES

• Concept of Derivatives: Meaning of the term "Derivative" in Mathematics.
• First Principle of Derivatives: The conventional way of computing derivatives.
• Algebra of Derivatives: Addition, Subtraction, Multiplication, and Division in Derivatives.
• Derivatives of common functions: To set you free to calculate the derivative of combination of any functions.
• The Chain Rule: To calculate the derivatives of composite functions no matter how complex they are.

### Tanmay Varshney

Software Developer, Tech Educator

Teacher

I am a Senior Software Engineer with vast experience of working in top tech giant companies.
I have more than 6 years of industry and teaching experience in domains like:

1. Designing scalable architecture for complex and distributed systems.

2. Developing components in a system across the full stack.

3. Solving complex data structures and algorithms related problems.

These are the major skills needed to be a good software developer who can excel in any tech company easily. I am really passionate about sharing my knowledge and expertise with you.

Thus, I am on board to create awesome technical courses on Skillshare based on my expertise which can be understood in the simplest manner.

Come, join me in this learning adventure!! I will... See full profile

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