4.4 Tangent Planes and Linear Approximations - OpenStax
https://openstax.org/books/calculus-volume-3/pages/4-4-tangent-planes-and-linear-approximations
WEBThe idea behind using a linear approximation is that, if there is a point (x 0, y 0) (x 0, y 0) at which the precise value of f (x, y) f (x, y) is known, then for values of (x, y) (x, y) reasonably close to (x 0, y 0), (x 0, y 0), the linear approximation (i.e., tangent plane) yields a value that is also reasonably close to the exact value of f ...
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