Worksheet 2.3 - Differentiation Rules With Answers - Calculus Maximus Page 3
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6Calculus Maximus
WS 2.3: Differentiation Rules
For 11 & 12, find the value of k such that the given line is tangent to the graph of the given function.
( )
( )
2
=
−
=
−
=
= +
11.
f x
x
kx
, line
y
4
x
9
12.
f x
k x
, line
y
x
4
Questions 13-16 are True of False. If False, either explain why, rewrite it to make it true, or provide a
counterexample.
( )
( )
( )
( )
( )
( )
( )
( )
′
′
′
′
=
=
=
+ , then
=
13. If
, then
.
14. If
.
f x
g x
f x
g x
f x
g x
C
f x
g x
dy
1
1
( )
( )
π
π
′
=
3
=
2
=
=
15. If
y
, then
.
16. If
, then
3
f x
f x
−
n
n
1
dx
x
nx
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