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Unit: Derivatives: definition and basic rules

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Possible mastery points

Average vs. instantaneous rate of change

Practice
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!

Estimating derivatives

Practice
Estimate derivativesGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 900 Mastery points

Power rule

Practice
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!

Derivative rules: constant, sum, difference, and constant multiple

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

Combining the power rule with other derivative rules

Practice
Differentiate polynomialsGet 3 of 4 questions to level up!
Tangents of polynomialsGet 3 of 4 questions to level up!

Quiz 2

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

Quotient rule

Practice
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!

Derivatives of tan(x), cot(x), sec(x), and csc(x)

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

Quiz 3

Level up on the above skills and collect up to 800 Mastery points
Up next for you:

Unit test

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