Purchase Solution

# Real Analysis: Differentiation

Not what you're looking for?

If I let the function f:R->R have two derivatives with f(0) = 0 and f'(x) <= f(x) for all x in R.

Is f(x) = 0 for all x in R

##### Solution Summary

A counter-example is used to disprove a statement about a function. A function for two derivatives are analyzed.

##### Solution Preview

No
Here is a counter example
We define f(x) as follows:

if x>=0, f(x)=0
if x<0, f(x)=x^4 ...

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Graphs and Functions

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

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts