The derivative of a cubic function is a quadratic function. In this page roots of cubic equation we are going to see how to find relationship between roots and coefficients of cubic equation. In algebra a cubic equation in one variable is an equation of the form a x 3 b x 2 c x d 0 displaystyle ax3bx2cxd0 in which a is nonzero.
In mathematics a cubic function is a function of the form f x a x 3 b x 2 c x d displaystyle fxax3bx2cxd where the coefficients a b c and d are real numbers and the variable x takes real values and a 0.
F x axn bx n-1 cx n-2. The oldest cubic equation to be studied was the algebraic version of the famous geometric problem of doubling the cube the so-called Delian problem which in algebraic terms is equivalent to solving the equation x ³2. Let ax³ bx² cx d 0 be any cubic equation and avg are roots. See Cubic explorer where you can see the effects on a graph of changing a cubic equation.