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Linearization At a Point. f(x). Linearization of a Function at a Point x = a. (a, f(a)). f(x) – f(a) = f ’(a)(x – a). Use the linearization of. to find f(2.1). Find f(-3.1) using the linearization of. Use the linearization of. at x = 8 to find f(8.1).
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f(x) Linearization of a Function at a Point x = a (a, f(a)) f(x) – f(a) = f ’(a)(x – a)
Use the linearization of to find f(2.1)
Use the linearization of at x = 8 to find f(8.1)
The local linear approximation of a function f will always be greater • than or equal to the function’s value if, for all x in an interval • containing the point of tangency, • f ‘ < 0 • f ‘ > 0 • f” < 0 • f” > 0 • f ‘ = f “ = 0