12-14-23 Implicit Differentiation

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What is implicit differentiation?

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Implicit differentiation is a technique used to find the derivative of a function defined implicitly by an equation involving both x and y, without solving for y explicitly.

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How do you apply the chain rule in implicit differentiation?

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In implicit differentiation, when differentiating a term involving y, you multiply by dy/dx. For example, if you differentiate y^2, you get 2y(dy/dx).

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What is the formula for the tangent line at a point on a curve?

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How do you find the slope of the tangent line using implicit differentiation?

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Differentiate both sides of the equation with respect to x, solve for dy/dx, and evaluate at the given point.

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What is the product rule in differentiation?

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What is the quotient rule in differentiation?

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