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Published byLoraine Elliott Modified over 5 years ago
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The Quotient Rule The Quotient Rule is used to find derivatives for functions written as a fraction:
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Let two functions be given:
Can this be the way to take the derivative of their quotient? WHY OR WHY NOT?
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To find the derivative of their quotient, we will use a formula (which could be found from the product rule):
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Let’s restate this rule in words instead of symbols:
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Now let’s find the derivative of our example using this rule:
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Now you try one. Differentiate the following function. The answer is on the next screen, but don’t look until you attempt the problem on your own.
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Use the quotient rule to find the derivative.
Do not simplify your result.
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Here’s how we could use that answer:
Find the slope of the tangent line at
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