Answer: If a function of one variable is continuous on an interval and has only one

Chapter 14, Problem 38

(choose chapter or problem)

If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to bean absolute maximum. But this is not true for functions of twovariables. Show that the functionhas exactly one critical point, and that has a local maxi mumthere that is not an absolute maximum. Then use a computer toproduce a graph with a carefully chosen domain and viewpointto see how this is possible.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back