# Differentiability and Rational and Irrational Functions

Please see the attached file for the fully formatted problems.

4. Let g: R -> R be a function such that for x rational, and for x

irrational. Is there any f: R->R such that f'(x) = g'(x)? Prove your statement.

https://brainmass.com/math/graphs-and-functions/differentiability-rational-irrational-functions-151201

#### Solution Summary

Differentiability and Rational and Irrational Functions are investigated.

$2.49