This is whats givin:
f(x,y)={((x^2)y)/(x^2+y^2) (x,y) <> (0,0)
{0 (x,y) = (0,0)
I need to use the definition of a partial derivative of the limit.
Hence i use:
fx (or fy) = lim h-->0 [(f(x+h,y) - f(x,y))/h]
do i just subsitute x+h for x. so ill have ((x+h)^2)y and so one.
If so, it presents me with an equation i would have a hard time solving, i know how to do a partial derivitive using the normal rule for derivatives.
Key areas of concern is how the original equation is given to me...I am given 2 equations with two seperate values that (x,y) can or cant be. How do i deal with. Also, the near impossible equation that developes, is it really that complexe or am i missing and easy step to simplify. Help is much appreciated.
2006-11-27
09:07:41
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1 answers
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asked by
Anonymous
in
Mathematics