Worksheet 2.6 - The Chain Rule Worksheet With Answers - Calculus Maximus
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7Calculus Maximus
WS 2.6: Chain Rule
Name_________________________________________ Date________________________ Period______
Worksheet 2.6—The Chain Rule
Short Answer
Show all work, including rewriting the original problem in a more useful way. No calculator unless
otherwise stated.
1. Find the derivative of the following functions with respect to the independent variable. (You do not need
to simplify your final answers here.)
2
⎛
⎞
1
1
(
)
3
=
−
=
= ⎜
(a)
(b)
(c)
y
2
x
7
y
y
⎟
−
2
+
−
⎝
t
3
⎠
t
3 1
t
⎛
⎞
3
x
(
)
π
=
3
=
2
−
=
+
3
3
(d)
(e)
y
3sec
t
1
(f)
y
csc
y
sin
x
sin
x
⎜
⎟
⎝
2
⎠
1
( )
3
5
2
θ
θ
=
=
f x =
(g)
y
x
tan
(h)
r
sec 2 tan 2
(i)
csc 7
x
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