AP Calculus

Special Focus: The Fundamental
Theorem of Calculus
Extend your lines to include values of x < 0. Note that f ( − 2) = 1. 5dt = − 1.
5dt
0 0
−2
∫ ∫ .
10. What is f 0
( − 2)
? ____________________What is f 1
( − 2)
? ___________________
11. Graph the ordered pairs ( x, g1 ( x))
on the same set of axes you used for number 7.
Connect the dots on your graph corresponding to each function to produce two lines.
Extend your lines to include values of x < 0. Note that g ( − 2) = 0. 5dt = − 0.
5dt
12. What is g 0
( − 2)
? ___________________What is g 1
( − 2)
0 0
−2
0
−2
∫ ∫ .
0
−2
? ____________________
13. What do the graphs of y = f 0
( x) and y = f 1
( x) have in common? ______________
14. What do the graphs of y = g 0
( x) and y = g 1
( x) have in common? _____________
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AP® Calculus: 2006–2007 Workshop Materials