The Definition of the Derivative
Using the Definition to Compute the Derivative
Techniques of Differentiation
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation
Linear Approximations
The Newton-Raphson Method
Differentiating Inverse Functions
Vertical Tangents and Cusps
Differentiation and Continuity
The Mean-Value Theorem
Monotonicity and the Sign of the Derivative
Critical Points
Global Extrema
Concavity and Points of Inflection
More Problems on the Derivative