Calculus Maximus
WS 2.4: Product & Quotient Rules
Name_________________________________________ Date________________________ Period______
Worksheet 2.4—Product & Quotient Rules
Show all work. No calculator permitted unless otherwise stated.
Short Answer
1. Find the derivative of each function using correct notation (never not always). Show all steps, including
rewriting the original function as well as simplifying your final answer s by combining like terms
and/or factoring out common factors. (except part (d)).
tan
x
( )
( )
( )
=
+
2
=
2
=
(a)
h t
2 cos
t
t t
sin
t
(b)
f x
2
x
cot
x
(c)
f x
+
sin
x
1
x
sec
x
( )
( )
( )
(
)(
)
2
=
=
=
=
(d)
f x
(e)
(f)
h x
csc
x
csc
x
csc
x
f x
cot csc
x
x
2
+
x
1
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