Let
f
(
x
) =
1
x
, a
= 1.
a) Find the tangent line to
f
at
a
.
b) Use the tangent line to ﬁnd an approximate value of
f
(
.
98)
c) What value does your calculator give for
f
(
.
98) ?
d) What is the percentage error between the two values?
Let
f
(
x
) =
√
x, a
= 1.
a) Find the tangent line to
f
at
a
.
b) Use the tangent line to ﬁnd an approximate value of
f
(
.
98)
c) What value does your calculator give for
f
(
.
98) ?
d) What is the percentage error between the two values?
Let
f
(
x
) = (1

x
)
2
3
, a
= 0.
a) Find the tangent line to
f
at
a
.
b) Use the tangent line to ﬁnd an approximate value of (
.
98)
2
3
c) What value does your calculator give for (
.
98)
2
3
?
d) What is the percentage error between the two values?
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This note was uploaded on 03/22/2008 for the course M 408c taught by Professor Mcadam during the Fall '06 term at University of Texas.
 Fall '06
 McAdam

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