polynomial equation - Wolfram|Alpha

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Input

1 - 5 x + x^3

Polynomial discriminant

Δ = 473

Derivative

d/dx(1 - 5 x + x^3) = 3 x^2 - 5

Indefinite integral

integral(1 - 5 x + x^3) dx = x^4/4 - (5 x^2)/2 + x + constant

Local maximum

$max{1 - 5 x + x^3} = 1 + (10 sqrt(5/3))/3 at x = -sqrt(5/3)$

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