Derivatives
Differentiation rules, techniques, and applications
All Topics in Derivatives
What is a Derivative?
Understanding the fundamental concept of derivatives
Derivative Notation
Understanding the different ways to write derivatives
Derivative as Slope
Understanding derivatives through tangent lines and slope
Derivative as Rate of Change
Understanding derivatives through real-world rates of change
The Power Rule
The most fundamental differentiation rule for polynomials
Constant Multiple and Sum Rules
Essential rules for differentiating linear combinations of functions
The Product Rule
Differentiating the product of two functions
The Quotient Rule
Differentiating fractions and rational functions
The Chain Rule
Finding derivatives of composite functions
Derivatives of Trigonometric Functions
Finding derivatives of sine, cosine, tangent, and other trig functions
Derivatives of Exponential Functions
Finding derivatives involving e^x and other exponential functions
Derivatives of Logarithmic Functions
Finding derivatives involving ln(x) and other logarithmic functions
Implicit Differentiation
Finding derivatives when y is not isolated
Related Rates
Finding how rates of change are related to each other
Higher-Order Derivatives
Second derivatives, third derivatives, and beyond
Logarithmic Differentiation (Technique)
Using logarithms to simplify difficult differentiation problems