In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function’s derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equ...
In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) {\displaystyle \nabla f}\nabla f whose value at a point {\displaystyle p}p is the “direction and rate of f...