# Differentiation: definition and basic derivative rules

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

## 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!

## Defining the derivative of a function and using derivative notation

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

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## 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

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## Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x)

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

## The product rule

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

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#### Unit test

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