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This question has been posed in multiple posts due to the many attachements

Hi there!


For one of my exercises I have the following equation:

CodeCogsEqn (9).gif

I need to find both partial derivatives and for y this is quite easy.

However I find that finding the partial derivative of x is very time-consuming.

I was hoping that someone could show me whether there is an easier way of computing this.

Here is what I did.

Rewrite abs[x] to sqrt(x 2) and apply quotient rule

CodeCogsEqn (2).gif

Note that x 2+y 2 in the denominator should be (x 2+y 2) 2 also I accidently used the wrong notation for the derivative

Apply product rule

CodeCogsEqn (3).gif

Note that in the first part of the equation x 2+y 2 in the denominator should be (x 2+y 2) 2

part 1/3
 Mar 25, 2014
 #1
avatar+2353 
0
This question has been posed in multiple posts due to the many attachements

CodeCogsEqn (5).gif

CodeCogsEqn (6).gif

CodeCogsEqn (7).gif

part 2/3
 Mar 25, 2014
 #2
avatar+2353 
0
This question has been posed in multiple posts due to the many attachements

CodeCogsEqn (8).gif

part 3/3

Reinout
 Mar 25, 2014
 #3
avatar+33151 
0
Here's my offering:

dfdx.PNG
 Mar 25, 2014
 #4
avatar+2353 
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Alan:

Here's my offering:

dfdx.PNG



Aah, thank you allan.
Splitting the function into two domains does indeed make sense.
 Mar 25, 2014
 #5
avatar+38 
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What the f**k?
 Mar 25, 2014
 #6
avatar+117834 
0
pancakes:

What the XXXX?



Hello Pancakes,
I don't mind you bopping along around in here. I want this to be a site that is both friendly and helpful for children, BUT the language you have used here is not acceptable.
Find yourself some cleaner words with which to express you amazement. There are plenty of them. Use your imagination.
Melody.
 Mar 26, 2014
 #7
avatar
0
Melody:
pancakes:

What the XXXX?



Hello Pancakes,
I don't mind you bopping along around in here. I want this to be a site that is both friendly and helpful for children, BUT the language you have used here is not acceptable.
Find yourself some cleaner words with which to express you amazement. There are plenty of them. Use your imagination.
Melody.


----
By Pottymouth Troll
Yes, I have to agree, the language you have used here is not acceptable!

You could stick to vulgar fractions or Farey sequences, or you could say, “What the b****y h**l is this fucking s**t?”
You should appreciate this anyway. The above equation is how someone might flip pancakes. That is different than the equation for flipping someone off.

BTW There is someone at another site by the name Flapjack. You two should get together and make a few waffles.

From watch your fucking Pottymouth Troll.
Professional Troll Association post ID E2DC28AEB5BA2BD3D963F15F5DB5198A
 Mar 28, 2014

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