The rich and exciting field of calculus begins with the study of derivatives. This book is a practical introduction to derivatives, filled with down-to-earth explanations, detailed examples and lots of exercises (solutions included). It takes you from the basic functions all the way to advanced differentiation rules and proofs. Check out the sample for the table of contents and a taste of the action. From the author of “Mathematical Shenanigans”, “Great Formulas Explained” and the “Math Shorts” series. A supplement to this book is available under the title “Exercises to Math Shorts – Derivatives”. It contains an additional 28 exercises including detailed solutions.

Note: Except for the very basics of algebra, no prior knowledge is required to enjoy this book.

**Table of Contents:**

**– Section 1: The Big Picture**

**– Section 2: Basic Functions and Rules**

Power Functions

Sum Rule and Polynomial Functions

Exponential Functions

Logarithmic Functions

Trigonometric Functions

**– Section 3: Advanced Differentiation Rules**

I Know That I Know Nothing

Product Rule

Quotient Rule

Chain Rule

**– Section 4: Limit Definition and Proofs**

The Formula

Power Functions

Constant Factor Rule and Sum Rule

Product Rule

**– Section 5: Appendix**

Solutions to the Problems

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