Oct 22, 2016 · I know how to take linear approximations with one variable by taking the derivative, but I am a bit lost on how to do this with two variables (partial differentiation I think).

Sep 25, 2020 · It's a very important point that the derivative of a function (multiple variables or otherwise) is defined as the best linear approximation to the function at that point.

Sep 23, 2017 · From my understanding, linear approximations and differentials both use the tangent line to a function to estimate the value of the function at a point. I understand that their respective …

In single variable the derivative is the best linear approximation of the function, so I guess this extends to multivariable but we can't use a number for this (why?) and instead we use a matrix.

May 24, 2017 · Simple example of linear approximation with multivariable calc - is this right? Ask Question Asked 8 years, 5 months ago Modified 8 years, 5 months ago

Dec 14, 2018 · The offset $f (x_0)$ ensures that the approximation takes the value $f (x_0)$ at the point $x_0$, and the matrix $A$ describes how the function changes linearly around $x_0$. The idea is …

May 14, 2023 · Explore related questions calculus multivariable-calculus derivatives partial-derivative linear-approximation See similar questions with these tags.

calculus multivariable-calculus partial-derivative linear-approximation linearization Share Cite edited Oct 8, 2016 at 23:24

Apr 10, 2015 · Explore related questions multivariable-calculus See similar questions with these tags.

Oct 31, 2015 · Explore related questions multivariable-calculus See similar questions with these tags.