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Squared Square

Result

x^4

Plot

Plot

Root

x = 0

Polynomial discriminant

Δ = 0

Properties as a real function

R (all real numbers)

{y element R : y>=0} (all non-negative real numbers)

even

Derivative

d/dx((x^2)^2) = 4 x^3

Indefinite integral

integral x^4 dx = x^5/5 + constant

Global minimum

$min{(x^2)^2} = 0 at x = 0$

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