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March 5, 2015

March 5, 2015

Posted by **michelle** on Thursday, June 13, 2013 at 1:51pm.

and the difference quotient

f(a + h) − f(a)

------------------

h

,

where h ≠ 0.

f(x) = 4 − 6x + 7x2

f(a)=

f(a + h) =

f(a + h) − f(a)

----------------- =

h

- Math -
**Anonymous**, Friday, June 14, 2013 at 1:32amf(x) = 4 − 6x + 7x2

7(x + h)^2 -6(x+h) +4-(7x^2 -6x +4))/h

7( x^2 xh+ xh + h^2) -6x -6h + 4 -7x^2 +6x -4))/h

(7x^2 +14xh + 7h^2 -6x -6h +4 -7x^2 + 6x -4)/h

(14xh + 7h^2 -6h)/h

h(14x +7h -6)/h

14x + 7h -6

lim(h->0) 14x + 7h -6 = 14x -6

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