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STANDARD 2.1A2

 The instantaneous rate of change of a function at a point can be expressed by lim(f(a+h)-f(a))/h as h approaches 0 or lim(f(x)-f(a))/(x-a) as x approaches a, provided that the limit exists.  These are common forms of the definition of the derivative and are denoted f '(a).

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Practice-Instantaneous Rate of Change 1a
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Practice-Instantaneous Rate of Change 1b
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16 PDF
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To access Practice Worksheets aligned to the College Board's AP Calculus Curriculum Framework, click on the Essential Knowledge Standard below.  To see the text of an EKS, hover your pointer over the Standard.
LIMITS 1.1A1 1.1A2 1.1A3 1.1C2 1.1C3 1.2A2 1.2A3            
DERIVATIVES 2.1A1 2.1A2 2.1A3 2.1C1 2.1C2 2.1C3 2.1C4 2.1C5 2.1C6 2.1D1 2.2A1 2.2A2 2.2A3
2.3A2 2.3B1 2.3B2 2.3C1 2.3C2 2.3C3 2.3F1 2.4A1          
INTEGRALS 3.2A1 3.2B2 3.3B1 3.3B2 3.3B3 3.3B5 3.4B1 3.4C1 3.4D1 3.4D2 3.5A1 3.5A2 3.5A3
SERIES 4.1A2                        
COMPLETE JMAP FOR CALCULUS

 

 
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