November 23rd, 2014, 04:32 AM  #1 
Member Joined: Jul 2014 From: Seattle Posts: 96 Thanks: 2  Help with this minimum...
When I enter x^4  2x^3 into WA, it says there is a global minimum at x = 3/2 (http://www.wolframalpha.com/input/?i=x^4++2x^3). The book I got this problem from says that it is a local minimum. Which is the correct answer, is it just a local minimum or is it global? Thanks. There's also a bonus question: how do I sketch it? The shape of the graph looks hugely different when I look at it between different values of x. Last edited by 3uler; November 23rd, 2014 at 04:48 AM. 
November 23rd, 2014, 06:09 AM  #2  
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Quote:
The curve comes down from +infinity as x goes from infinity to zero, where the function has a triple root (so flattens out as it crosses the xaxis), it then decreases again to its minimum at x=3/2 from where it increases towards + infinity crossing the x axis again at x=2. CB  
November 23rd, 2014, 06:52 AM  #3  
Member Joined: Jul 2014 From: Seattle Posts: 96 Thanks: 2  Quote:
 
November 23rd, 2014, 07:08 AM  #4  
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Quote:
So if the excise is to find the zeros of the derivative and classify them into maximum, minimum and points of inflection, the answer will be local xxxx, because that is what the method tells you. CB  

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