Differentiability and Limits
Not what you're looking for?
Please see the attached file for the fully formatted problems.
Let f: I →ℜ where I is an open interval containing the point c, and let k ∈ ℜ. Prove the following
1. f is differentiable at c with f ′(x) = k iff lim h→0 [f(c+h) - f(c)]/h=k
2. If f is differentiable at c with f ′(c) = k , then lim h→0 [f(c+h) - f(c-h)]/2h=k
Purchase this Solution
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.
, ...
Purchase this Solution
Free BrainMass Quizzes
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
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.