taking the derivative
then evaluate at 2
ok i already tried this but i'm not really sure if i did it right at all so i'm looking for some help. heres the problem.(spaces didnt work, i had to use underscores)
Use the function f(x)=2/x for the following.
a. Complete the table for x=2
h_|x+h| f(x+h) | f(x) | f(x+h)-f(x)/h
1_|___|_______|____|___________
.5_|___|______|____|___________
.1_|___|______|____|___________
.01|___|______|____|___________
now i completed the table by just plugging in 2 for x on all of the rows, along with the corresponding h value. so mine looks like this.
_h_|x+h|f(x+h)__|f(x)| f(x+h)-f(x)/h
_1_|_3_|__2/3__|_1_|-1/5
.5_|2.5_|__4/5__|_1_|-2/5
.1_|2.1_|20/21__|_1_|-1/2
.01|2.01|200/201|_1_|-1/2
is that the correct way to do it or am i missing something?
also there are a couple corresponding questions
b. Find f'(2) by a rule or formula
i got -1/4 for this
c. Is there a relationship between parts A and B? If so, what?
this is where i figured i did the table wrong, because i can't figure out what the relationship is. this is all for an important grade i could really use any help you can give me. thanks.