Worksheet 2.6 - The Chain Rule Worksheet With Answers - Calculus Maximus Page 7
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7Calculus Maximus
WS 2.6: Chain Rule
⎡
⎤
5
⎛
⎞
2
−
d
x
3
⎢
⎥ =
⎜
⎟
_____ 16.
⎜
⎟
⎢
⎥
2
dx
−
5
x
9
⎝
⎠
⎣
⎦
2
4
2
−
−
10 (
x x
3) (10
x
17)
(A)
2
6
−
(5
x
9)
2
4
2
−
−
−
10 (
x x
3) (5
x
16)
(B)
2
5
−
(5
x
9)
2
4
−
−
240 (
x x
3)
(C)
2
6
−
(5
x
9)
2
4
−
60 (
x x
3)
(D)
2
6
−
(5
x
9)
2
4
−
100 (
x x
3)
(E)
2
6
−
(5
x
9)
( )
_____ 17. A derivative of a function
f x is obtained using the chain rule. The result is
( )
( )
3
′
=
f x
3sec
x
tan
x
. Which of the following could be
f x ?
3
( )
4
π
= − +
I.
f x
sec
x
4
( )
3
= +
II.
f x
8 sec
x
( )
2
=
+
III.
f x
sec
x
sec tan
x
x
(A) I only
(B) II only
(C) III only
(D) II and III only
(E) I, II, and III
Page 7 of 7
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