Worksheet 2.10 Derivatives Of Log Functions & Log Diff Page 3
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7Calculus Maximus
WS 2.10: Log Functions
dy
4. Use implicit differentiation to find
.
dx
2
2
+
=
−
+
=
(a)
(b) ln
xy
5
x
30
x
3ln
y y
10
(
)
( )
2
+ − =
+
5. Find an equation of the tangent line to the graph of
at
1,0 .
x y
1 ln
x
y
2
⎛ ⎞
x
=
6. A line with slope m passes through the origin and is tangent to
y
ln
. What is the value of m?
⎜ ⎟
⎝ ⎠
3
Page 3 of 7
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