3*x^2 6*x-5

Input

3 x^2 (6 x) - 5

Plot

Plot
Plot

Real root

x = (5/2)^(1/3)/3^(2/3)

Polynomial discriminant

Δ = -218700

Properties as a real function

Domain

R (all real numbers)

Range

R (all real numbers)

Bijectivity

bijective from its domain to R

Derivative

d/dx(3 x^2 (6 x) - 5) = 54 x^2

Indefinite integral

integral(-5 + 18 x^3) dx = (9 x^4)/2 - 5 x + constant