f(x,y) = 2(x^2)y - 4x/y Prove that f'y (with respect to y) = 2x^2 + 4x/(y^2) using the definition of a partial derivative (limit)
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Originally Posted by AlphaRock f(x,y) = 2(x^2)y - 4x/y Prove that f'y (with respect to y) = 2x^2 + 4x/(y^2) using the definition of a partial derivative (limit) To take the derivative with respect to , you treat as a constant and use the standard derivative rules. . .
Originally Posted by Prove It To take the derivative with respect to , you treat as a constant and use the standard derivative rules. . . Thanks for your help, Prove it. How would we find f'y using limits? The definition of this partial derivative would be: lim (f(x,y+k) - f(x,y))/k k->0
Originally Posted by AlphaRock Thanks for your help, Prove it. How would we find f'y using limits? The definition of this partial derivative would be: lim (f(x,y+k) - f(x,y))/k k->0 The calculation is tedious but straightforward.
Last edited by undefined; April 6th 2010 at 10:28 PM. Reason: (lots of) typos, formatting
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