Linearization Demonstration
Learn how to find the equation of the line tangent to a function f(x) at a point using linearization. Use this method to find f(2.1).
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Slide1Section 4.7 - Approximations3.6 T4
Slide3Linearization of a Function at a Point x = af(x) (a, f(a)) f(x) – f(a) = f ’(a)(x – a) Linearization Demonstration
Slide4Find the equation of the line tangent to
Slide5Use the linearization ofto find f( 2.1 )
Slide6Find f(-3.1) using the local linearization of
Slide7the local linear approximation of a function f will always be greaterthan 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
