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Card 8 / 11:
differentiable
a function f ( x , y ) is differentiable at ( x 0 , y 0 ) if f ( x , y ) can be expressed in the form f ( x , y ) = f ( x 0 , y 0 ) + f x ( x 0 , y 0 ) ( x − x 0 ) + f y ( x 0 , y 0 ) ( y − y 0 ) + E ( x , y ) , where the error term E ( x , y ) satisfies lim ( x , y ) → ( x 0 , y 0 ) E ( x , y ) ( x − x 0 ) 2 + ( y − y 0 ) 2 = 0
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