Local Linearity and Linearization
AP Calculus BC · Flashcards · Recall
AP CALCULUS BC · FLASHCARDS
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QUESTION
Define local linearity in the context of a differentiable function.
QUESTION
What is the formula for the linear approximation of a function
f
f
f
at
x
=
a
x=a
x
=
a
?
QUESTION
Which function value does
f
(
a
)
f(a)
f
(
a
)
represent in the linear approximation formula?
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ANSWER
The value of the function at
x
=
a
x = a
x
=
a
. This is the y-coordinate where the tangent line touches the curve.
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