# 8.11: Quotient Rule and Higher Derivatives

Difficulty Level: At Grade Created by: CK-12
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Practice Quotient Rule and Higher Derivatives

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Estimated29 minsto complete
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Estimated29 minsto complete
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### Vocabulary Language: English

TermDefinition
differentiable A differentiable function is a function that has a derivative that can be calculated.
Instantaneous acceleration The instantaneous acceleration of an object is the change in velocity of the object calculated at a specific point in time.
Instantaneous velocity The instantaneous velocity of an object is the velocity of the object at a specific point in time.
quotient rule In calculus, the quotient rule states that if $f$ and $g$ are differentiable functions at $x$ and $g(x) \ne 0$, then $\frac {d}{dx}\left [ \frac{f(x)}{g(x)} \right ]= \frac {g(x) \frac {d}{dx}\left [{f(x)} \right ] - f(x) \frac{d}{dx} \left [{g(x)} \right ]}{\left [{g(x)} \right ]^2}$.

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