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linear approximation
[linear approximation|linear approximation] [linear approximation] provides a close estimate for vx when x is near 9, as demonstrated by its value (3.0167) being very close to the calculator-derived value.
Definition
linear approximation [linear approximation] provides a close estimate for vx when x is near 9, as demonstrated by its value (3.0167) being very close to the calculator-derived value.
Mechanism
linear approximation is a method that uses the linear function L(x) = f(a) + f'(a)(x - a) to approximate y = f(x) near x = a, representing the tangent line to the function at that point.
Examples
linear approximation [linear approximation] is used to find the linear approximation of f(x) = (1 + xt at x = 0 without using the result from the preceding example.