4x^2-9
Input |
---|
4 x^2 – 9 |
Geometric figure |
parabola |
Alternate form |
(2 x – 3) (2 x + 3) |
Polynomial discriminant |
Delta = 144 |
Derivative |
d/dx(4 x^2 – 9) = 8 x |
Indefinite integral |
integral (-9 + 4 x^2) dx = (4 x^3)/3 – 9 x + constant |
Global minimum |
min{4 x^2 – 9} = -9 at x = 0 |
Definite integral |
integral_(-3/2)^(3/2) (-9 + 4 x^2) dx = -18 |
Definite integral area below the axis between the smallest and largest real roots |
integral_(-3/2)^(3/2) (-9 + 4 x^2) theta(9 – 4 x^2) dx = -18 |