Quartic function

A quartic function is a function of the form f(x)=ax^4+bx^3+cx^2+dx+e with nonzero a; or in other words, a polynomial function with a degree of four.

Related Topics:
Function - Polynomial

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Since a quartic function is a polynomial of even degree, it has the same limit when the argument goes to positive or negative infinity. If a is positive, then the function increases to positive infinity at both sides; and thus the function has a global minimum. Likewise, if a is negative, it decreases to negative infinity and has a global maximum.

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The derivative of a quartic function is a cubic function.

Related Topics:
Derivative - Cubic function

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Finding Roots: See Quartic equation.

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