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Example 1: Representing the derivative of a function as the limit of a difference quotient.

A math problem showing the derivative of the function f(x) = -x³ + 4x represented as the limit of a difference quotient, with handwritten steps and the formal definition of the derivative on the right.

A math problem showing the derivative of the function f(x) = -x³ + 4x represented as the limit of a difference quotient, with handwritten steps and the formal definition of the derivative on the right.

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