Taylor Polynomial

Definition

A Taylor polynomial is a polynomial approximation of a function centered around a specific point. It is used to estimate the value of the function at nearby points.

Related terms

Derivative:

The derivative measures how fast a function is changing at each point. It plays a crucial role in determining the coefficients of a Taylor polynomial.

Maclaurin Series:

A Maclaurin series is a special case of a Taylor series where the center point is 0 (zero). It provides an approximation for functions around this specific point.

Remainder Term: The remainder term represents the difference between the actual value of the function and its approximation using a Taylor polynomial. It helps quantify how accurate our estimation is.