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Unit: Differentiation: definition and basic derivative rules

AP Calc:
CHA (BI)
,
CHA‑2 (EU)
,
FUN (BI)
,
FUN‑2 (EU)
,
FUN‑3 (EU)

0

Possible mastery points

Defining average and instantaneous rates of change at a point

AP Calc:
CHA (BI)
,
CHA‑2 (EU)
,
CHA‑2.A (LO)
,
CHA‑2.A.1 (EK)
,
CHA‑2.B (LO)
,
CHA‑2.B.1 (EK)
,
CHA‑2.B.2 (EK)
,
CHA‑2.B.3 (EK)
,
CHA‑2.B.4 (EK)
,
CHA‑2.C (LO)
,
CHA‑2.C.1 (EK)
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!

AP Calc:
CHA (BI)
,
CHA‑2 (EU)
,
CHA‑2.B (LO)
,
CHA‑2.B.2 (EK)
,
CHA‑2.B.3 (EK)
,
CHA‑2.B.4 (EK)
,
CHA‑2.C (LO)
,
CHA‑2.C.1 (EK)

Estimating derivatives of a function at a point

AP Calc:
CHA (BI)
,
CHA‑2 (EU)
,
CHA‑2.D (LO)
,
CHA‑2.D.1 (EK)
Practice
Estimate derivativesGet 3 of 4 questions to level up!

Connecting differentiability and continuity: determining when derivatives do and do not exist

AP Calc:
FUN (BI)
,
FUN‑2 (EU)
,
FUN‑2.A (LO)
,
FUN‑2.A.1 (EK)
,
FUN‑2.A.2 (EK)

Quiz 1

Level up on the above skills and collect up to 700 Mastery points

Applying the power rule

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.A (LO)
,
FUN‑3.A.1 (EK)
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: introduction

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.A (LO)
,
FUN‑3.A.2 (EK)
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!

Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.A (LO)
,
FUN‑3.A.3 (EK)
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

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.A (LO)
,
FUN‑3.A.4 (EK)

AP Calc:
FUN (BI)
,
FUN‑3.A (LO)
,
FUN‑3.B (LO)
,
FUN‑3.B.1 (EK)

The quotient rule

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.B (LO)
,
FUN‑3.B.2 (EK)
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!

Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions

AP Calc:
FUN (BI)
,
FUN‑3 (EU)
,
FUN‑3.B (LO)
,
FUN‑3.B.3 (EK)
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 2300 Mastery points!