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Math Help - Average rate of change

  1. #1
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    Average rate of change

    So how would i find the answer to this if:
    A and B are points on the graph of f(x) = 1 / x^2. The x-coordinate of point A is 5 and the x-coordinate of point B is 5 + h. Find the average rate of change of f on the interval [5, 5 + h]? P.S. this is a practice problem, thanks!
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  2. #2
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    Average rate of change in this instance is \displaystyle \frac{f(b)-f(a)}{b-a}=\frac{\frac{1}{(5+h)^2}-\frac{1}{5^2}}{(5+h)-5} = \dots

    Can you finish it?
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  3. #3
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    Quote Originally Posted by pickslides View Post
    Average rate of change in this instance is \displaystyle \frac{f(b)-f(a)}{b-a}=\frac{\frac{1}{(5+h)^2}-\frac{1}{5^2}}{(5+h)-5} = \dots

    Can you finish it?
    I don't know if this is right, but i got: 10 + h / 25(5+h)^2
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  4. #4
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    I get \displaystyle \frac{-10-h}{25(5+h)^2 } you might have dropped a minus somewhere.
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  5. #5
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    Quote Originally Posted by pickslides View Post
    I get \displaystyle \frac{-10-h}{25(5+h)^2 } you might have dropped a minus somewhere.
    Oh I think I know where I've went wrong now, thanks a lot!
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