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In many textbooks the derivative (or IROC) is described in terms of and (delta ) instead of and .

  1. Explain why and are equivalent.

    can be translated as 'change in .' typically appears in the expression: . How are these equivalent?

  2. Use the picture above and the definition of IROC to write the slope of the tangent line in terms of and .

    'Definition of the Derivative' is the same thing as 'Instantaneous Rate of Change': IROC