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Flashcards in Unit 2 Deck (4)
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Limit definition of the derivative of f(x):

f'(x)=

lim (f(x+h) - f(x)) / (h)
h->0

1

Alternate definition of derivative of f at x=c:

f'(c)=

lim (f(x) - f(c)) / (x-c)
x->c

2

What f'(x) tells you about a function

-Slope of curve at a point
-Slope of tangent line
-Instantaneous rate of change

3

Average rate of change

delta y (f(b) - f(a))
——— = —————
delta x (b-a)