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Math Help - chord gradient

  1. #1
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    chord gradient

    a curve has equation y = x^5. find the gradients of the chords joining the following pair of points on the curve:

    a) x = 1 and x = 1.01

    with a) the coordinates were (1, 1) and (1.01, 1.05101005) and so it would follow:

    \frac {1.05101005 - 1}{1.01 - 1} which is \frac{0.05101005}{0.01} = 5.101005

    the textbooks answer for a) is 5.10100501

    can someone tell me if i'm doing it wrong somewhere please? i really don't think i am. thanks
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  2. #2
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    Use a calculator which shows more decimal places on the screen - many calculators on the internet, or indeed the built-in Windows calculator, will do that. Then you'll find that you get the same answer as the textbook.
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  3. #3
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    my calculator will show 10 figures so i doubt its that. ah actually you're right. although my calculator can display 10 figures it doesn't when i try to do that.
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