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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)
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#### 0

Possible mastery points

The derivative of a function describes the function's instantaneous rate of change at a certain point - it gives us the slope of the line tangent to the function's graph at that point. See how we define the derivative using limits, and learn to find derivatives quickly with the very useful power, product, and quotient rules.

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)

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)

AP Calc:
CHA (BI)
,
CHA‑2 (EU)
,
CHA‑2.D (LO)
,
CHA‑2.D.1 (EK)

## 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)

### Practice

#### Quiz 1

Level up on the above skills and collect up to 560 Mastery points

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

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

## 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

#### Quiz 2

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

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

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

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

## 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

#### Quiz 3

Level up on the above skills and collect up to 640 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 2300 Mastery points!
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