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Math

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Find f(a), f(a + h),
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 -

    f(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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