1550251515-Classical_Complex_Analysis__Gonzalez_

(jair2018) #1

626 Chapter^8


y

u


-3 -2 -1^0 +1 +2 +3 +4 x

(\


-1

-2

-3

(\ -4


Fig. 8.16


vertical asymptotes of the graph of y = I'( x ). By applying properties 1-to-6
of Theorem 8.48 and a table of values of the r-function, the graph of y =
I'(x) has been constructed (Fig. 8.16). Since I'(l) = I'(2) = 1, the graph
presents a minimum between 1 and 2, approximately at (1.4616, 0.8856).


2

x

Fig. 8.17 From E. Jahnke and F. Emde, Tables of Functions with Formulas
and Curves, Dover Publications, New York, 1945, p. 13.

Free download pdf