Derivatives Review (Oct 17)

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Which of the following is not a correct notation for 'derivative'?

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The notation 'dy' is not a correct notation for 'derivative'.

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At which point(s) will the slopes of the tangent line be zero?

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The slopes will be zero at points B and D.

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What is the definition of a derivative?

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The derivative of a function measures how the function's output value changes as its input value changes.

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What is the product rule in calculus?

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What does it mean for a function to be differentiable at a point?

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A function is differentiable at a point if it has a derivative at that point, meaning it has a defined slope of the tangent line.

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What is the significance of a zero derivative?

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A zero derivative indicates that the function has a horizontal tangent line at that point, which may correspond to a local maximum or minimum.

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How do you find the derivative of a polynomial function?

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