Introduction to Derivatives 🧮
In this tutorial, we'll explore the basic concepts of derivatives, a fundamental component in calculus.
What is a Derivative?
A derivative represents the rate at which a function is changing at any given point and is a foundational concept in the field of calculus. Let's dive deeper!
Basic Rules of Differentiation
- The Constant Rule: If \( c \) is a constant, then \( \frac{d}{dx}c = 0 \).
- The Power Rule: If \( f(x) = x^n \), then \( f'(x) = nx^{n-1} \).
- The Sum Rule: If \( f(x) = g(x) + h(x) \), then \( f'(x) = g'(x) + h'(x) \).
Don't forget to check out the full lesson and interactive examples! 🌟