Implicit Differentiation ~ Calculus

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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, rather than explicitly solving for y.

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How do you apply implicit differentiation to find dy/dx?

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To apply implicit differentiation, differentiate both sides of the equation with respect to x, treating y as a function of x. Use the chain rule for terms involving y.

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If a function has a negative derivative, what does that indicate about the function?

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The function is decreasing.

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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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What is the quotient rule in differentiation?

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What does it mean for a function to be increasing?

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A function is increasing on an interval if its derivative is positive throughout that interval.