SOLUTION: Problem The difference quotient, D, is defined by the equation equation: Distance equals the f of (x+h) minus f of (x) divided by height Find D if f(x) = [3]x^ + [7]x + [6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Problem The difference quotient, D, is defined by the equation equation: Distance equals the f of (x+h) minus f of (x) divided by height Find D if f(x) = [3]x^ + [7]x + [6      Log On


   

Question 939521: Problem
The difference quotient, D, is defined by the equation
equation: Distance equals the f of (x+h) minus f of (x) divided by height
Find D if f(x) = [3]x^ + [7]x + [6] and simplify your answer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find D if f(x) = [3]x^2 + [7]x + [6] and simplify your answer.
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f(x+h) = 3(x+h)^2 + 7(x+h) + 6
f(x) = 3x^2 + 7x +6
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Subtract to get::
6xh + 3h^2 + 7h
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Divide by h to get:
Ans: 6x + 3h + 7
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If by "D" you mean the limit
as h goes to zero, the answer
becomes 6x + 7.
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Cheers,
Stan H.
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