In many textbooks the derivative (or IROC) is described in terms of x and ∆x (delta x) instead of x and h. Homework Help ✎
Explain why h and ∆x are equivalent.
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