This preview shows page 1. Sign up to view the full content.
Example
Let
f
(
x
) =
x
2

2
x
.
At which value of
x
is the tangent line to the curve
y
=
f
(
x
)
parallel to the line
y
=

3
x
+ 1?
Solution:
The line
y
=

3
x
+1 has slope
m
=

3. The slope of the tangent line to the curve
y
=
f
(
x
) has slope
f
0
(
x
), where
f
0
(
x
) = 2
x

2
.
So the problem is to ﬁnd the value of
This is the end of the preview. Sign up
to
access the rest of the document.
Unformatted text preview: x for which f ( x ) =3, or where 2 x2 =3 . Solving for x it follows that 2 x =3 + 2 =1 , or x =1 2 . The answer is x =1 2 ....
View
Full
Document
This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.
 Fall '10
 KIHYUNHYUN
 Calculus, Slope

Click to edit the document details