Respuesta :
The linear approximation of the function at the indicated point is as follows: F(x,y) = x -5y - 1
What is linear approximation?
The linear approximation of a function is nothing more than estimating the value of the function at a location using a line. When we see a curve (of a function) with a point on it, we recall the idea of the tangent line. If we determine the equation of the tangent line at the given position, the value of the function at any location extremely near to the given point can be estimated using the equation of the tangent line. Since the tangent line is used in this process, the idea is also referred to as the "tangent line approximation" or "linear approximation."
How to solve?
In this case, our goal is to locate the linear approximation of the provided function at the stated location.
We start by replacing the values, then determine the partial derivative with regard to x and finally y.
We now sum these values, having first substituted the x and y values into the differentiated partial equation. The findings are then added up.
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