The How and Why Mathematics Tutorials

Limits

The Basics of Limits

The Intermediate Value Theorem

The Tangent

Derivatives

The Basics of Derivative

Basic Rules

Product Rule

Quotient Rule

Helpful Derivatives

Implicit Differentiation

The Chain Rule

Maxima and Minima

Points of Inflection and Concavity

Integration

The Antiderivative

Helpful Integrals

U-Substitution

Integration by Parts

Partial Fractions

Multivariable Calculus

 Adding Vectors

Unit Vectors

The Dot Product

Vector Projection

The Cross Product

Partial Derivatives

The Chain Rule (multi-variable)

Equation of Tangent Planes

Linear Approximation

Directional Derivatives/Gradient Vectors

Local Max/Min Values

Absolute Max/Min Values

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