Inverse & Inverse Trig Functions Worksheet - Math141e, Pennsylvania State University
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6Calculus Maximus
WS 2.8: Inverse & Inverse Trig Functions
Name_________________________________________ Date________________________ Period______
Worksheet 2.8—Inverse & Inverse Trig Functions
Show all work. No calculator unless otherwise stated.
Short Answer
1. Find the derivative with respect to the appropriate variable. Simplify your expression.
( )
1
−
=
1
2
=
−
2
+
=
(a)
y
sec
x
(b)
y s
1
s
arccos
s
(c)
y
( )
arcsin 2
x
x
(
)
−
−
1
1
=
−
=
=
(d)
y
cot
t
1
(e)
y
csc
(f)
y
sin arccos
t
2
arcsin 3x
=
2
=
+
+
=
(g)
y m
arctan
m
(h)
y x
arcsin
x
1
x
(i)
y
x
⎛
⎞
⎛ ⎞
1
x
−
−
2
=
1
+
1
=
−
+
(j)
y
x
4
x
4 arcsin
(k)
y
sin
t
cos
t
⎜ ⎟
⎜
⎟
2
⎝ ⎠
2
⎝
⎠
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