Differentiate 
by using the chain rule.
Month: April 2010
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Problem 2-9: Differentiating Polynomial and Rational Functions
Differentiate
a)
b)
c)
d)
Solution
The following rules can be used:
I)
II)
III)
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Problem 2-6: Odd and Even Functions
Which one of the following functions are even or odd or neither?
a)
b)
c)
d)
e)
f)
Recall that a function is said to be even if
and odd if 
.Solution
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a) Odd
b) Even
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Problem 2-2: Evaluating Derivative of Functions and the Tangent Lines
Find the derivative of
and the equation of the tangent line at 
.a)
b)
c)
Solution
The equation of the tangent line at
is 
.
a)
.
b)
.
c)
.
, therefore 
. Hence
.
.
or 
or 
