SOLUTIONS TO DIFFERENTIATION OF FUNCTIONS USING THE PRODUCT RULE

SOLUTION 1 : Differentiate .

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

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SOLUTION 5 : Differentiate .

Then

(An alternate answer can be given using the trigonometry identity .)

.

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SOLUTION 6 : Differentiate .

Then

.

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SOLUTION 7 : Differentiate .

Then

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SOLUTION 8 : Differentiate .

Then

.

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SOLUTION 9 : Differentiate .

Then

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SOLUTION 10 : Differentiate .

Then

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SOLUTION 11 : Differentiate .

Then

.

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SOLUTION 12 : Differentiate .

Then

.

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