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November 6th, 2015, 07:41 AM  #1 
Newbie Joined: Jan 2015 From: Philadelphia Posts: 20 Thanks: 2  Chain rule on square root, what do you do with the number in the V?
So let's say the problem is f(x)=square root (with the 3 within the v part of the square root) of (1x)^2. I know with square roots we just put 1/2 as the exponent, but I don't know what to do with that 3 that's within the v.

November 6th, 2015, 07:44 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
$\sqrt[3]x$ is the cube root, not the square root. In general $\sqrt[n]x=x^{1/n}$ so you would use 1/3 instead of 1/2.

November 6th, 2015, 02:22 PM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
It really irks me that the Latex formula for a cube root, $\displaystyle \sqrt[3]{x}$, is "\sqrt[3]{x}", in other words, using "sqrt" for a cube root!

November 7th, 2015, 05:27 PM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  
November 7th, 2015, 06:22 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,156 Thanks: 878 Math Focus: Wibbly wobbly timeywimey stuff.  

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