Wichtige vordefinierte Funktionen
Wichtige Funktionen im Analysis
Wichtige Funktionen im Analysis
abs(x)
|x|
sig(x)
1 wenn x > 0; -1 wenn x < 0; 0 wenn x = 0
sqrt(x)
√x (x >= 0)
sqr(x)
x^2
exp(x)
e^x
id(x)
x
rez(x)
1/x
ln(x)
ln(1) = 0; ln(e) = 1
sin(x)
sin(0) = 0; sin(pi/2) = 1; sin(pi) = 0
cos(x)
cos(0) = 1; cos(pi/2) = 0; cos(pi) = -1
tan(x)
tan(-pi/2) = {}; tan(0) = 0
arccos(x)
x >= -1; x <= 1
arcsin(x)
x >= -1; x <= 1
arctan(x)
arctan(1) = pi/4; y < pi/2; y > -pi/2
chs(x)
-x
logau + logav
loga(u*v)
-
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Cartes-fiches
abs(x)
|x|
sig(x)
1 wenn x > 0; -1 wenn x < 0; 0 wenn x = 0
sqrt(x)
√x (x >= 0)
sqr(x)
x^2
exp(x)
e^x
id(x)
x
rez(x)
1/x
ln(x)
ln(1) = 0; ln(e) = 1
sin(x)
sin(0) = 0; sin(pi/2) = 1; sin(pi) = 0
cos(x)
cos(0) = 1; cos(pi/2) = 0; cos(pi) = -1
tan(x)
tan(-pi/2) = {}; tan(0) = 0
arccos(x)
x >= -1; x <= 1
arcsin(x)
x >= -1; x <= 1
arctan(x)
arctan(1) = pi/4; y < pi/2; y > -pi/2
chs(x)
-x
logau + logav
loga(u*v)
