
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 27th, 2012, 04:39 PM  #1 
Newbie Joined: Jun 2012 Posts: 1 Thanks: 0  Derivative of x times the absolute value of x
Ok...so what is the derivative of: h(x) = x*x at (0,0)

June 27th, 2012, 06:02 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs  Re: Derivative of x times the absolute value of x
We are given: Using the product, power and chain rules, we find: Hence: 
June 27th, 2012, 09:51 PM  #3 
Newbie Joined: May 2012 Posts: 3 Thanks: 0  Re: Derivative of x times the absolute value of x
y=xmodx If x is positive modx=x so y=x^2 and derivative=2x If x is negative modx=x so y= x^2 and derivative= 2x 
June 28th, 2012, 09:43 PM  #4 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: Derivative of x times the absolute value of x
xx behaves exactly like x^2 with the left half reflected about the x axis interestingly, x has no derivative at x=0 but xx has derivative everywhere. http://www.wolframalpha.com/input/?i=pl ... Cx%5E2%29+ 

Tags 
absolute, derivative, times 
Search tags for this page 
derivative of absolute value of x times x,derivative of x abs x,derivative of xmodx,x abs x differentiable,derivative of mod x,x times absolute value x,derivative of x abs(x),x*abs(x),derivative of x modx,derivative of x mod x,derivative of x times absolute value x,x abs x derivative,derivative of mod x squared,derivative of f(x) = x(abs(x)),derivative of x*abs(x)
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Find the absolute minimum and absolute maximum.  corleoneee  Calculus  5  October 22nd, 2013 12:31 AM 
Absolute Value Inequality with Absolute Values on Both Sides  shiseonji  Algebra  2  September 24th, 2013 08:36 AM 
how many times is a bigger then d  gelatine1  Algebra  2  December 29th, 2012 12:09 AM 
Critical Numbers / Absolute Extremas / First Derivative Test  RMG46  Calculus  1  October 24th, 2011 10:00 AM 
0 six times + 1 five times  Sara so  Algebra  3  January 4th, 2011 11:27 AM 