Use the limit definition of the derivative to find f'(x)

Algebra
Tutor: None Selected Time limit: 1 Day

f(x)= 1/ (x-1)

May 15th, 2015

150520154634.jpg

please respond to me if you receive the answer.

Thank you.

May 15th, 2015

i do not see it

May 15th, 2015

You don't see the photo or the quality of photo is bad?

May 15th, 2015

f(x)= 1/ (x-1)

f '(x) = lim [f(x+h) - f(x)]/h = lim [1/(x+h-1) - 1/(x-1)]/h = lim [(x-1) - (x+h-1)] / [h*(x-1)*(x+h-1)] =

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

May 15th, 2015

Please let me know if you get the answer

May 15th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 15th, 2015
...
May 15th, 2015
Dec 11th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer