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# Unit 4: Advanced derivatives

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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.

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### Practice

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

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- Second derivativesGet 3 of 4 questions to level up!

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

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### Practice

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

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- Differentiate logarithmic functionsGet 3 of 4 questions to level up!

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### Practice

- 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!

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### Practice

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

Level up on the above skills and collect up to 480 Mastery points

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