# chord gradient

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• October 23rd 2009, 08:32 AM
mark
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
• October 23rd 2009, 10:02 AM
davidlyness
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.
• October 23rd 2009, 10:11 AM
mark
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.