Question

Find the derivative of the given function at the indicated point.

(use f'(a)=lim [f(a+h)-f(a)]/h as h approaches 0)

This is what I have so far:

[1/(x+h) - 1/2]/h
= [2 - (x+h)]/(h(x+h)(2))
= [2-x-h]/(h(x+h)(2))

...and now I'm stuck. Help?

Thx

Answer 1

oh wow. forgot the problem. the function is f(x) = 1/x, a=2

sorry haha

Answer 2

um...I think I solved the problem. i forgot to substitute a=2 for the first part of the function. that way when you simplify it then you get -1/4. oh dear.