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3-34.
  1. In many textbooks the derivative (or IROC) is described in terms of x and ∆x (delta x) instead of x and h. Homework Help ✎

    1. Explain why h and ∆x are equivalent.

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

Δx can be translated as 'change in x.' h typically appears in the expression: (x + h) −x. How are these equivalent?

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