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