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Calculus

by Khan Academy
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    Epsilon Delta Limit Definition 2

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    Calculus: Derivatives 1 (new HD version)

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    Calculus: Derivatives 2 (new HD version)

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    Calculus: Derivatives 2.5 (new HD version)

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    Derivative Intuition Module

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    Calculus: Derivatives 1

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    Calculus: Derivatives 2

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    Calculus: Derivatives 3

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    The Chain Rule

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    Chain Rule Examples

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    Even More Chain Rule

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    Product Rule

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    Quotient Rule

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    Derivatives (part 9)

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    Proof: d/dx(x^n)

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    Proof: d/dx(sqrt(x))

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    Proof: d/dx(ln x) = 1/x

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    Proof: d/dx(e^x) = e^x

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    Proofs of Derivatives of Ln(x) and e^x

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    Extreme Derivative Word Problem (advanced)

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    Implicit Differentiation

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    Implicit Differentiation (part 2)

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    More implicit differentiation

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    More chain rule and implicit differentiation intuition

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    Trig Implicit Differentiation Example

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    Calculus: Derivative of x^(x^x)

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    Introduction to L'Hopital's Rule

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    L'Hopital's Rule Example 1

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    L'Hopital's Rule Example 2

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    L'Hopital's Rule Example 3

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    Maxima Minima Slope Intuition

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    Inflection Points and Concavity Intuition

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    Monotonicity Theorem

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    Calculus: Maximum and minimum values on an interval

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    Calculus: Graphing Using Derivatives

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    Calculus Graphing with Derivatives Example

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    Graphing with Calculus

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    Optimization with Calculus 1

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    Optimization with Calculus 2

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    Optimization with Calculus 3

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    Optimization Example 4

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    Introduction to rate-of-change problems

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    Equation of a tangent line

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    Rates-of-change (part 2)

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    Ladder rate-of-change problem

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    Mean Value Theorem

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    The Indefinite Integral or Anti-derivative

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    Indefinite integrals (part II)

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    Indefinite Integration (part III)

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    Indefinite Integration (part IV)

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    Indefinite Integration (part V)

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    Integration by Parts (part 6 of Indefinite Integration)

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    Indefinite Integration (part 7)

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    Another u-subsitution example

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    Introduction to definite integrals

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    Definite integrals (part II)

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    Definite Integrals (area under a curve) (part III)

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    Definite Integrals (part 4)

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    Definite Integrals (part 5)

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    Definite integral with substitution

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    Integrals: Trig Substitution 1

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    Integrals: Trig Substitution 2

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    Integrals: Trig Substitution 3 (long problem)

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    Periodic Definite Integral

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    Simple Differential Equations

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    Solid of Revolution (part 1)

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    Solid of Revolution (part 2)

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    Solid of Revolution (part 3)

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    Solid of Revolution (part 4)

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    Solid of Revolution (part 5)

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    Solid of Revolution (part 6)

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    Solid of Revolution (part 7)

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    Solid of Revolution (part 8)

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    Sequences and Series (part 1)

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    Sequences and series (part 2)

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    Maclauren and Taylor Series Intuition

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    Cosine Taylor Series at 0 (Maclaurin)

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    Sine Taylor Series at 0 (Maclaurin)

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    Taylor Series at 0 (Maclaurin) for e to the x

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    Euler's Formula and Euler's Identity

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    Visualizing Taylor Series Approximations

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    Generalized Taylor Series Approximation

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    Visualizing Taylor Series for e^x

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    Polynomial approximation of functions (part 1)

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    Polynomial approximation of functions (part 2)

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    Approximating functions with polynomials (part 3)

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    Polynomial approximation of functions (part 4)

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    Polynomial approximations of functions (part 5)

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    Polynomial approximation of functions (part 6)

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    Polynomial approximation of functions (part 7)

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    Taylor Polynomials

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    Exponential Growth

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    AP Calculus BC Exams: 2008 1 a

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    AP Calculus BC Exams: 2008 1 b&c

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    AP Calculus BC Exams: 2008 1 c&d

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    AP Calculus BC Exams: 2008 1 d

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    Calculus BC 2008 2 a

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    Calculus BC 2008 2 b &c

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    Calculus BC 2008 2d

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    Partial Derivatives