.
Then
.
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SOLUTION 2 : Differentiate 
.
Then
.
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SOLUTION 3 : Differentiate 
.
Then
.
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SOLUTION 4 : Differentiate 
.
Then
(Recall the well-known trigonometry identity 
.)
.
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SOLUTION 5 : Differentiate 
.
Then
.
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SOLUTION 6 : Differentiate 
.
Then
(Begin to simplify the final answer by getting a common denominator in the numerator.)
.
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SOLUTION 7 : Differentiate 
.
Then
(Recall that 
.)
(Recall that 
and 
.)
(Recall that 
.)
.
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SOLUTION 8 : Differentiate 
.
Then
(Factor 2x and 
from the numerator.)
.
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SOLUTION 9 : Consider the function 
. Evaluate 
.
Use the quotient rule to find the derivative of f . Then
(Recall that 
and 
.)
(Factor 
from the numerator.)
.
Finally,
(Recall that 
and 
.)
.
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SOLUTION 10 : Differentiate 
. Apply
the quotient rule first. Then
(Apply the product rule in the first part of the numerator.)
(Factor 
from inside the brackets.)
(Now factor from the numerator.)
.
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SOLUTION 11 : Differentiate 
. Apply the quotient rule first. Then
(Now apply the product rule in the first part of the numerator.)
(Factor 2x and 
from inside the brackets.)
(Factor 
, and 
from the numerator.)
.
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