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Continuity at a point: Continuity & differentiabilityReview: Limits of combined & composite functions: Continuity & differentiabilityContinuous functions: Continuity & differentiabilityReview: Intermediate value theorem: Continuity & differentiabilityDifferentiability: Continuity & differentiabilityReview: Differentiation basics: Continuity & differentiabilityProduct rule: Continuity & differentiabilityQuotient rule: Continuity & differentiability

Chain rule: Continuity & differentiabilityReview: Product, quotient, & chain rule: Continuity & differentiabilityRational functions differentiation: Continuity & differentiabilityRadical functions differentiation: Continuity & differentiabilityTrigonometric functions differentiation: Continuity & differentiabilityExponential functions differentiation: Continuity & differentiabilityLogarithmic functions differentiation: Continuity & differentiabilityDerivatives capstone: Continuity & differentiability

Implicit differentiation introduction: Advanced differentiationImplicit differentiation (advanced examples): Advanced differentiationInverse trig functions differentiation: Advanced differentiationDerivatives of inverse functions: Advanced differentiationDisguised derivatives: Advanced differentiation

Critical points: Playing with graphs (using differentiation)Increasing & decreasing intervals: Playing with graphs (using differentiation)Relative minima & maxima: Playing with graphs (using differentiation)Absolute minima & maxima: Playing with graphs (using differentiation)

Review: Increasing/decreasing intervals & extrema: Playing with graphs (using differentiation)Concavity: Playing with graphs (using differentiation)Points of inflection: Playing with graphs (using differentiation)Sketching graphs using calculus: Playing with graphs (using differentiation)Review: Concavity & points of inflection: Playing with graphs (using differentiation)

Functions defined by integrals: Definite IntegralsFundamental theorem of calculus: Definite IntegralsFundamental theorem of calculus: chain rule: Definite IntegralsDefinite integral as area: Definite IntegralsDefinite integral properties: Definite IntegralsReview: Definite integral basics: Definite IntegralsDefinite integral evaluation: Definite Integrals

Definite integrals of piecewise functions: Definite IntegralsChallenging definite integrals: Definite IntegralsImproper integrals: Definite IntegralsRiemann sums: Definite IntegralsRiemann sums with sigma notation: Definite IntegralsTrapezoidal rule: Definite IntegralsDefinite integral as the limit of a Riemann sum: Definite IntegralsReview: Riemann sums: Definite Integrals

Vector basics: Vector algebraScalar multiplication: Vector algebraMagnitude of vectors: Vector algebraVector addition & subtraction: Vector algebraCombined vector operations: Vector algebraUnit vectors: Vector algebra

Magnitude & direction form of vectors: Vector algebraAdding vectors in magnitude & direction form: Vector algebraComponent form of vectors: Vector algebraApplications of vectors: Vector algebraMultiplication of a vector by a scalar: Vector algebraDot product: Scalar product of two vectors: Vector algebraCross product: Vector product of two vectors: Vector algebra

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Introduction to inverses of functions

Learn what inverses of functions are, and gain some experience with them by finding the outputs of the inverse of a function given that function.

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