Purchase Solution

# Differentiability and Limits

Not what you're looking for?

Please see the attached file for the fully formatted problems.

Let f: I &#8594;&#8476; where I is an open interval containing the point c, and let k &#8712; &#8476;. Prove the following
1. f is differentiable at c with f &#8242;(x) = k iff lim h&#8594;0 [f(c+h) - f(c)]/h=k
2. If f is differentiable at c with f &#8242;(c) = k , then lim h&#8594;0 [f(c+h) - f(c-h)]/2h=k

##### Solution Summary

A proof involving differentiability and limits is provided. The solution is detailed and well presented.

##### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

, ...

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts