Worksheet 2.10 Derivatives Of Log Functions & Log Diff Page 4
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7Calculus Maximus
WS 2.10: Log Functions
x
=
7. Find an equation for a line that is tangent to the graph of
y e
and goes through the origin.
−
x
=
− = .
8. Find the point where the tangent line to the curve
is perpendicular to the line 2
x y
8
y e
9. Use Logarithmic Differentiation to evaluate the following.
(
)
⎡
⎤
(
)
4
2
−
+
x
3
x
1
d
⎢
⎥
dy
1/ ln x
=
=
(a)
(b) If
y
x
, find
.
5
⎢
⎥
(
)
3
dx
dx
−
2
x
5
⎢
⎥
⎣
⎦
Page 4 of 7
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