Calc 3A IC Review

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What is the derivative of a constant function?

Back

The derivative of a constant function is 0.

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What does the limit definition of a derivative represent?

Back

The limit definition of a derivative represents the instantaneous rate of change of a function at a point.

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What is the power rule for differentiation?

Back

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What is the product rule for differentiation?

Back

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What is the quotient rule for differentiation?

Back

Front

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

Back

A function is continuous at a point if the limit as x approaches that point equals the function's value at that point.

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What is the relationship between continuity and differentiability?

Back

A function must be continuous at a point to be differentiable there, but a continuous function may not be differentiable.