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# Unit: Derivatives: definition and basic rules

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- Secant lines & average rate of changeGet 3 of 4 questions to level up!
- Derivative as slope of curveGet 3 of 4 questions to level up!
- The derivative & tangent line equationsGet 3 of 4 questions to level up!

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- Secant lines & average rate of change with arbitrary pointsGet 3 of 4 questions to level up!
- Secant lines & average rate of change with arbitrary points (with simplification)Get 3 of 4 questions to level up!

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- Derivative as a limitGet 3 of 4 questions to level up!

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- Estimate derivativesGet 3 of 4 questions to level up!

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- Differentiability at a point: graphicalGet 3 of 4 questions to level up!
- Differentiability at a point: algebraicGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 720 Mastery points

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- Power rule (positive integer powers)Get 3 of 4 questions to level up!
- Power rule (negative & fractional powers)Get 3 of 4 questions to level up!
- Power rule (with rewriting the expression)Get 3 of 4 questions to level up!

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- Basic derivative rules: find the errorGet 3 of 4 questions to level up!
- Basic derivative rules: tableGet 3 of 4 questions to level up!

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- Differentiate polynomialsGet 3 of 4 questions to level up!
- Differentiate integer powers (mixed positive and negative)Get 3 of 4 questions to level up!
- Tangents of polynomialsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 640 Mastery points

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- Derivatives of sin(x) and cos(x)Get 3 of 4 questions to level up!
- Derivatives of 𝑒ˣ and ln(x)Get 3 of 4 questions to level up!

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- Differentiate productsGet 3 of 4 questions to level up!
- Product rule with tablesGet 3 of 4 questions to level up!

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- Differentiate quotientsGet 3 of 4 questions to level up!
- Quotient rule with tablesGet 3 of 4 questions to level up!
- Differentiate rational functionsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 640 Mastery points

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Level up on all the skills in this unit and collect up to 2500 Mastery points!