Proof: Differentiability
Not what you're looking for?
Suppose f(b) = f'(b) = 0 and a < b. Show that if f''(x) ≥ 0 for x є [a,b], then f(x) ≥ 0 for x є [a,b].
Purchase this Solution
Solution Summary
A differentiability proof is provided. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
Solution Preview
First we note that if f''(x) ≥ 0 for x є [a,b] then f'(x) is NON-DECREASING for x є [a,b] ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
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
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.