Derivatives Review

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What is the definition of a derivative?

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The derivative of a function at a point is the limit of the average rate of change of the function as the interval approaches zero. It represents the slope of the tangent line to the function's graph at that point.

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What is the power rule for differentiation?

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What is the product rule for differentiation?

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What is the chain rule for differentiation?

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What is the quotient rule for differentiation?

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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 the function is smooth and has no sharp corners or discontinuities there.

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What is the significance of the first derivative test?

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The first derivative test is used to determine the local maxima and minima of a function by analyzing the sign of the derivative before and after critical points.

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What is implicit differentiation?

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What is the second derivative?

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