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Unit: Advanced derivatives

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Differentiating using multiple rules

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Differentiating using multiple rules: strategyGet 3 of 4 questions to level up!
Differentiating using multiple rulesGet 3 of 4 questions to level up!

Second derivatives

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Second derivativesGet 3 of 4 questions to level up!

Quiz 1

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Implicit differentiation

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Implicit differentiationGet 3 of 4 questions to level up!
Differentiate related functionsGet 3 of 4 questions to level up!

Derivatives of inverse functions

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Derivatives of inverse functionsGet 3 of 4 questions to level up!

Quiz 2

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Derivatives of inverse trigonometric functions

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Derivatives of inverse trigonometric functionsGet 3 of 4 questions to level up!

Derivatives of exponential functions

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Derivatives of aˣ and logₐxGet 3 of 4 questions to level up!
Differentiate exponential functionsGet 3 of 4 questions to level up!

Derivatives of logarithmic functions

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Differentiate logarithmic functionsGet 3 of 4 questions to level up!

Quiz 3

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Parametric & vector-valued function differentiation

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Parametric equations differentiationGet 3 of 4 questions to level up!
Vector-valued functions differentiationGet 3 of 4 questions to level up!
Second derivatives (parametric functions)Get 3 of 4 questions to level up!
Second derivatives (vector-valued functions)Get 3 of 4 questions to level up!

Polar functions differentiation

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Differentiate polar functionsGet 3 of 4 questions to level up!
Tangents to polar curvesGet 3 of 4 questions to level up!

Quiz 4

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Optional videos

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Unit test

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About this unit

This unit covers cases where we apply the common derivative rules in more elaborate ways. For example, implicit differentiation uses the chain rule to find the derivatives of functions whose explicit equation is unknown.