Reelle Ligninger
3x-15=0
1. orden → x = 5
x^2-5x+6=0
2. orden → x = 2, x = 3
x^2+4=0
2. orden → x = ±2i
x^3-6x^2+11x-6=0
3. orden → x = 1, 2, 3
x^3-8=0
3. orden → x = 2, -1±1.73i
sqrt(x)=4
Kvadratrod → x = 16
cos(x)=0.5
Cosinus → x = ±1.0472 + n*2π
Differentiering
diff(sin(x)+cos(x))
Trig → cos(x)-sin(x)
diff(3x^2+2x)
Polynom → 6x+2
diff(e^x+ln(x))
Exp/Log → e^x+1/x
(2+3i)x^2+ix diff
Kompleks → (4+6i)x+i
Integration
int(sin(x)+cos(x))
Trig → -cos(x)+sin(x)+C
int(x^2+3x)
Polynom → x³/3+3x²/2+C
int(e^x+1/x)
Exp/Log → e^x+ln|x|+C
(1-i)x+2i int
Kompleks → (0.5-0.5i)x²+2ix+C
Komplekse Ligninger
(3+4i)x-(2-i)=0
1. orden kompleks
(1+2i)x^2+(1-2i)x=0
2. orden kompleks
ix^2+2x+i=0
Andengradsligning med i
2x^2-2x-(2+2i)=0
Blandet reel/kompleks
e^((1+i)x)=2
Kompleks eksponentiel
ln((3+4i)x)=1+i
Kompleks logaritme