4x^2-12x+9

4x^2-12x+9

Input
4 x^2 – 12 x + 9
Geometric figure
parabola
Root
x = 3/2
Polynomial discriminant
Delta = 0
Derivative
d/dx(4 x^2 – 12 x + 9) = 8 x – 12
Indefinite integral
integral (9 – 12 x + 4 x^2) dx = (4 x^3)/3 – 6 x^2 + 9 x + constant
Global minimum
min{4 x^2 – 12 x + 9} = 0 at x = 3/2

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