May 6th, 2012, 10:08 AM  #1 
Senior Member Joined: Sep 2008 Posts: 105 Thanks: 0  Gradient
Consider the function f defined by 1) f(x,y) = 0 unless x>0 and 2) for each x > 0 3) for all (x,y) with x>0 Modify this to get a function g with yet there is no direction of maximal change. I know f has no direction of maximal change becauseand) are both 0, and so the gradient is zero and the angle between the gradient and any direction vector is undefined. How can this happen when the gradient is 1? 

Tags 
gradient 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Gradient function  jiasyuen  Calculus  5  January 9th, 2014 11:55 AM 
gradient of y= 2x +8 ??  coachcft  Calculus  2  December 15th, 2012 01:25 PM 
Gradient  truthseeker  Linear Algebra  12  October 2nd, 2012 08:07 AM 
The value of g in the gradient formula  dthomas86  Calculus  5  December 30th, 2011 04:21 AM 
The value of g in the gradient formula  dthomas86  Algebra  3  December 31st, 1969 04:00 PM 