
chord gradient
a curve has equation $\displaystyle y = x^5$. 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:
$\displaystyle \frac {1.05101005  1}{1.01  1}$ which is $\displaystyle \frac{0.05101005}{0.01}$ = 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

Use a calculator which shows more decimal places on the screen  many calculators on the internet, or indeed the builtin Windows calculator, will do that. Then you'll find that you get the same answer as the textbook.

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.