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# Derivatives: definition and basic rules

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Secant lines & average rate of changeGet 3 of 4 questions to level up!

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Derivative as slope of curveGet 3 of 4 questions to level up!

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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!

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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!

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

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Power rule (positive integer powers)Get 3 of 4 questions to level up!

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Power rule (negative & fractional powers)Get 3 of 4 questions to level up!

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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!

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Basic derivative rules: tableGet 3 of 4 questions to level up!

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Differentiate polynomialsGet 3 of 4 questions to level up!

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

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Tangents of polynomialsGet 3 of 4 questions to level up!

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

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Derivatives of 𝑒ˣ and ln(x)Get 5 of 7 questions to level up!

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Differentiate productsGet 3 of 4 questions to level up!

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

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Differentiate quotientsGet 3 of 4 questions to level up!

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Quotient rule with tablesGet 3 of 4 questions to level up!

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Differentiate rational functionsGet 3 of 4 questions to level up!

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Derivatives of tan(x), cot(x), sec(x), and csc(x)Get 5 of 7 questions to level up!

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Level up on the above skills and collect up to 800 Mastery points

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