+ x^4 - x^2 - Wolfram|Alpha

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Input

+x^4 - x^2

Plot

Plot

Plot

Alternate form

x^2 (x - 1) (x + 1)

x^2 (x^2 - 1)

(x^2 - 1/2)^2 - 1/4

Roots

x = -1

x = 0

x = 1

Polynomial discriminant

Δ = 0

Properties as a real function

Domain

R (all real numbers)

Range

{y element R : y>=-1/4}

Parity

even

Derivative

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

Indefinite integral

integral(+x^4 - x^2) dx = x^5/5 - x^3/3 + constant

Local maximum

$max{+x^4 - x^2} = 0 at x = 0$

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