Uttryck 10: "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals left parenthesis, "A" "x" plus "B" , right parenthesis natural log left parenthesis, "x" , right parenthesis plus "C" "x" plus StartFraction, "D" Over "x" , EndFraction plus "E" plus "F" natural log left parenthesis, ln left parenthesis, "x" plus 1 , right parenthesis plus 1 , right parenthesisg1x=Ax+Blnx+Cx+Dx+E+Flnlnx+1+1
10
Uttryck 11: "g" Subscript, "a" 0 , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" greater than 0.5 : exp left parenthesis, "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , StartFraction, pi Over sin left parenthesis, pi "x" , right parenthesis exp left parenthesis, "g" Subscript, 1 , Baseline left parenthesis, 1 minus "x" , right parenthesis , right parenthesis , EndFraction , right bracega0x=x>0.5:expg1x,πsinπxexpg11−x
11
Uttryck 12: "s" Subscript, 3 , Baseline left parenthesis, "x" , right parenthesis equals 3 "x" squared minus 2 "x" cubeds3x=3x2−2x3
12
Uttryck 13: "s" Subscript, 5 , Baseline left parenthesis, "x" , right parenthesis equals 6 "x" to the 5th power minus 15 "x" to the 4th power plus 10 "x" cubeds5x=6x5−15x4+10x3
13
Uttryck 14: "g" Subscript, "a" "s" , Baseline left parenthesis, "x" , right parenthesis equals exponent left parenthesis, "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis plus left parenthesis, ln left parenthesis, StartFraction, pi Over StartAbsoluteValue, sin left parenthesis, pi "x" , right parenthesis , EndAbsoluteValue , EndFraction , right parenthesis minus "g" Subscript, 1 , Baseline left parenthesis, 1 minus "x" , right parenthesis minus "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis "s" Subscript, 5 , Baseline left parenthesis, 1 minus min left parenthesis, "x" , 1 , right parenthesis , right parenthesis , right parenthesisgasx=expg1x+lnπsinπx−g11−x−g1xs51−minx,1
14
Uttryck 15: "g" Subscript, "a" , Baseline left parenthesis, "x" , right parenthesis equals left brace, "x" greater than or equal to 1 : exp left parenthesis, "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , "x" less than 0 : StartFraction, pi Over sin left parenthesis, pi "x" , right parenthesis exp left parenthesis, "g" Subscript, 1 , Baseline left parenthesis, 1 minus "x" , right parenthesis , right parenthesis , EndFraction , "g" Subscript, "a" "s" , Baseline left parenthesis, "x" , right parenthesis , right bracegax=x≥1:expg1x,x<0:πsinπxexpg11−x,gasx
15
Uttryck 16: log left parenthesis, StartAbsoluteValue, StartFraction, "g" left parenthesis, "x" , right parenthesis Over "g" Subscript, "a" , Baseline left parenthesis, "x" , right parenthesis , EndFraction minus 1 , EndAbsoluteValue , right parenthesisloggxgax−1
16
Uttryck 17: log left parenthesis, StartAbsoluteValue, StartFraction, "g" left parenthesis, 10 Superscript, "x" , Baseline , right parenthesis Over "g" Subscript, "a" , Baseline left parenthesis, 10 Superscript, "x" , Baseline , right parenthesis , EndFraction minus 1 , EndAbsoluteValue , right parenthesislogg10xga10x−1
17
Uttryck 18: log left parenthesis, StartAbsoluteValue, StartFraction, "g" prime left parenthesis, "x" , right parenthesis Over "g" Subscript, "a" , Baseline prime left parenthesis, "x" , right parenthesis , EndFraction minus 1 , EndAbsoluteValue , right parenthesislogg′xga′x−1
18
19
driven av
driven av
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
over÷
funktioner
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+
eller
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Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser
