Math Wiki
Learn the fundamental rules and concepts of calculus.
Derivatives
Chain Rule
Learn how to use the chain rule to find the derivative of composite functions.
Product Rule
The product rule for finding the derivative of two functions multiplied together.
Quotient Rule
Learn the quotient rule for differentiating ratios of functions.
Power Rule
The most fundamental rule for derivatives: d/dx(x^n) = nx^(n-1).
Implicit Differentiation
How to differentiate equations where y is not explicitly isolated.
Definition of Derivative
The formal limit definition that explains the concept of instantaneous rate of change.
Trigonometric Derivatives
A guide to the derivatives of sine, cosine, tangent, and other trig functions.
Exponential Derivatives
Understanding the unique properties of the derivative of e^x and other bases.
Limits
Integrals
Integration by Parts
A technique for integration based on the product rule for derivatives.
Fundamental Theorem of Calculus
The theorem that links the concept of differentiating a function with the concept of integrating a function.
U-Substitution
The integration counterpart to the chain rule.
Definite Integrals
Calculating the total accumulation or area under a curve between two limits.