$$$$

The following function will be approximated:

$\sin{\left ( x \right )} + x^{\sqrt{2 x}}$

The following are the first few terms of the Maclaurin polynomial:

$\text{Click "Calculate" to begin.}$

The Maclaurin polynomial is a polynomial approximation of a function centered at zero. It is a special case of the Taylor polynomial, where the center of the approximation is at zero.

A Taylor polynomial is a polynomial approximation of a function around a specific point. It is used to approximate the function near that point by using its derivatives.