Question

use the definition of the derivative f'(x)=lim x->delta x of (f(x+delta x)-f(x))/delta x of f(x)=2/(x-5)

Answer 1

sorry , why I post that on your question? ?

Answer 2

ignore that! there was a but on this software

Answer 3

but =bug

Answer 4

alright

Answer 5

Then I oblige to answer your question :). For \(f(x)=2/(x-5)\). The expression become
\[\frac{1}{\Delta x}(2/(x+\Delta x -5)-2/(x-5))=\frac{-2\Delta x}{\Delta x(x-5)(x+\Delta x-5)}=\frac{-2}{(x-5)(x+\Delta x-5)}\]
As \(\Delta x\to 0\) we have \(-2/(x-5)^2\).

Answer 6

for some reason i cant see past the second equals sign... :/

Answer 7

Try to refresh the browser. Press F5.

Answer 8

nope still the same thing. and i have a mac. so i dont have f5...

Answer 9

See the attachment.