Math

posted by .

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
  2. biology

    Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
  3. mah

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = 6x + 7 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  4. math

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = x^2+7 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  5. Math

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = 17 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  6. MAth

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = 2/x+5 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  7. math

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = x/x+6 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  8. math

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = 2x/x-7 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  9. Math

    Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) ------------------ h , where h ≠ 0. f(x) = 7x^3 f(a)= f(a + h) = f(a + h) − f(a) ----------------- = h
  10. Mathematics

    Simplify the difference quotient [f(x) − f(a]/[x − a] if x ≠ a. f(x) = SQROOT of (x − 27) (Hint: Rationalize the numerator.)

More Similar Questions