anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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watchmath
  • watchmath
sorry , why I post that on your question? ?
watchmath
  • watchmath
ignore that! there was a but on this software
watchmath
  • watchmath
but =bug

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anonymous
  • anonymous
alright
watchmath
  • watchmath
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 \(-2/(x-5)^2\).
anonymous
  • anonymous
for some reason i cant see past the second equals sign... :/
watchmath
  • watchmath
Try to refresh the browser. Press F5.
anonymous
  • anonymous
nope still the same thing. and i have a mac. so i dont have f5...
watchmath
  • watchmath
See the attachment.
1 Attachment

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