Asked by Mike

Hopefully this one makes sense:

The derivative's definition is lim h → (0f (x + h) −f (x)) / h .

Explain with one sentence what gives the fraction (f (x + h) −f (x)) / h and with another sentence what will be the difference when you add lim → 0?

Answers

Answered by oobleck
actually, the derivative is
lim(h→0) (f(x+h)-f(x))/h
slope is ∆f/∆x, which is exactly the expression given above, if ∆x = h.

google can provide many discussions of this concept.
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