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Print at May 25, 2013 11:16:51 PM

Posted by ChanMik at Jan 16, 2008 11:34:51 AM
I really don't get partial derivatives...
Partial Derivatives
Consider f(x,y) = x^2y / x^2 + y^2 (x,y) does not equal (0,0) and f(x,y)= 0 (x,y)=(0,0). Find the partial derivative df/dx (0,0) and df/dy (0,0) using the definition of the partial derivative of the limit.

Gradients
1. f (x,y,z) = xy^2 - y^3z^2
2. g (x,y,z) = ln (?x^2 + y^2 + z^2)
3. h (x,y,z) = 1 / (?x^2 + y^2 + z^2)
4. h (x,y,z) = ( ?x^2 + y^2 + z^2)n , n is greater than or equal to 2