Implicit Differentiation

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What is Implicit Differentiation?

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Implicit differentiation is a technique used to differentiate equations that define y implicitly in terms of x, rather than explicitly as y = f(x).

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When do we use Implicit Differentiation?

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We use implicit differentiation when it is difficult or impossible to solve for y explicitly in terms of x.

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How do you differentiate an equation implicitly?

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To differentiate implicitly, take the derivative of both sides of the equation with respect to x, applying the chain rule to terms involving y, and then solve for dy/dx.

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Tags

CCSS.HSF-LE.A.1A

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What is the chain rule in differentiation?

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What is the product rule in differentiation?

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