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Section Approximations 3.6 T4

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Linearization of a Function at a Point x = a f(x) (a, f(a)) f(x) – f(a) = f ’(a)(x – a) Linearization Demonstration

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Find the equation of the line tangent to

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Use the linearization of to find f(2.1)

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Find f(-3.1) using the local linearization of

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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, a)f ‘ < 0 b)f ‘ > 0 c)f” < 0 d)f” > 0 e)f ‘ = f “ = 0

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