4x^2+4x+1

4x^2+4x+1

Input
4 x^2 + 4 x + 1
Geometric figure
parabola
Root
x = -1/2
Polynomial discriminant
Delta = 0
Derivative
d/dx(4 x^2 + 4 x + 1) = 8 x + 4
Indefinite integral
integral (1 + 4 x + 4 x^2) dx = (4 x^3)/3 + 2 x^2 + x + constant
Global minimum
min{4 x^2 + 4 x + 1} = 0 at x = -1/2

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