Question

for each of the values of h given, when x is increased from 1 to 1+h, work out:

Answer 1

(the change in x^2) / h


h=1___
h=.1____
h=0.1_____
h=.001___

Answer 2

can you write the change in x^2 in terms of h ?

Answer 3

would it be (1+h-1)^2..?

Answer 4

change in x^2 = (1+h)^2 - 1^2 = (1+h)^2 - 1

Answer 5

ohh

Answer 6

so then now I can just plug in h values

Answer 7

no first simplify

Answer 8

it will be easier

Answer 9

oh ok thanks

Answer 10

this exercise should show you that as h approaches zero
you get the value of the derivative of x^2 at x=1.

Answer 11

managed to do it ?