Learn About Derivatives 🧮

Introduction to Derivatives

Derivatives are a fundamental concept in calculus and represent the rate of change of a function with respect to a variable. They are used extensively in various fields such as physics, engineering, and economics.

Here is a simple representation of a derivative in graphical form:

Basic Rules of Differentiation

• The Power Rule: d/dx (xⁿ) = nx^n-1
• The Constant Rule: d/dx (c) = 0 where c is a constant
• The Sum Rule: d/dx (u + v) = du/dx + dv/dx

Common Applications

Derivatives are often used to find the slope of a curve at a point, calculate motion variables, and optimize situations by finding maximum and minimum values.

Interactive: Practice Your Derivatives!