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# Differential Calculus (2017 edition)

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

Proofs for the derivatives of eˣ and ln(x): Advanced differentiationLogarithmic differentiation: Advanced differentiationParametric & vector-valued function differentiation: Advanced differentiationReview: Advanced differentiation: Advanced differentiationHigher-order derivatives: Advanced differentiationHigher-order derivatives (parametric & vector-valued functions): Advanced differentiation

Critical points: Analyzing functions with calculusIncreasing & decreasing intervals: Analyzing functions with calculusRelative minima & maxima: Analyzing functions with calculusAbsolute minima & maxima: Analyzing functions with calculus

Review: Increasing/decreasing intervals & extrema: Analyzing functions with calculusConcavity: Analyzing functions with calculusPoints of inflection: Analyzing functions with calculusSketching graphs using calculus: Analyzing functions with calculusReview: Concavity & points of inflection: Analyzing functions with calculus

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## A brief introduction to differential calculus

How would you like to follow in the footsteps of Euclid and Archimedes? Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus (integration being the other).

Start learning## A brief introduction to differential calculus

How would you like to follow in the footsteps of Euclid and Archimedes? Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus (integration being the other).

Start learning## Preparing to study calculus

Calculus builds on ideas from algebra, geometry, and trigonometry. See how to prepare for success in your calculus class.

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