Given the function f(x) = 3 / (x - 1), use the limit definition of the derivative provided below to find f'(x). (Do not use a shortcut, such as the power rule, to find the derivative.) f'(x) = lim_{h ? 0} (f(x + h) - f(x)) / h
Added by Adam R.
Close
Step 1
We are given a function $f(x)$ and we need to find its derivative $f'(x)$ using the limit definition of the derivative. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 98 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the limit definition to find the derivative of f(x) = 2^x. Show all work using the limit definition to solve for f'(x).
Adi S.
Use the limit definition of derivative to find f'(3) for f(x)= x - x^2.
Eduard S.
The limit below represents a derivative f'(a). Find f(x) and a if f(x) is as simple as possible, like sin(x), cos(x), or tan(x). Do not use more complicated functions like sin(17 + x). f(x) =
Suman Saurav T.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD