# Solving a function by quotient rule

Jun 21st, 2015
Studypool Tutor
Central Georgia Technical College
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Quotient rule is part of calculus which gives students work practices.

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SOLUTIONS TO DIFFERENTIATION OF FUNCTIONS USING THE QUOTIENT RULE SOLUTION 1 : Differentiate . Then . SOLUTION 2 : Differentiate . Then . SOLUTION 3 : Differentiate . Then . SOLUTION 4 : Differentiate . Then (Recall the well-known trigonometry identity .) . SOLUTION 5 : Differentiate . Then . SOLUTION 6 : Differentiate . Then (Begin to simplify the final answer by getting a common denominator in the numerator.) . SOLUTION 7 : Differentiate . Then (Recall that .) (Recall that and .) (Recall that .) . SOLUTION 8 : Differentiate . Then (Factor 2x and from the numerator.) . 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 .) . 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.) . 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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