1. The partial derivative of function f(x, y) with respect only to the independent variable x...

 

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1. The partial derivative of function f(x, y) with respect only to the independent variable x is defined as f(x+h, y) f(x, y) fx(x, y) = lim h0 h Use this definition to derive the partial derivative fx for the following functions. You may not use L'Hpital's Rule in your derivation of the limit nor any of the usual differentiation rules. A. f(x, y) = xy + y .2 B. f(x, y) = cos(xy) 1. The partial derivative of function f(x, y) with respect only to the independent variable x is defined as f(x+h, y) f(x, y) fx(x, y) = lim h0 h Use this definition to derive the partial derivative fx for the following functions. You may not use L'Hpital's Rule in your derivation of the limit nor any of the usual differentiation rules. A. f(x, y) = xy + y .2 B. f(x, y) = cos(xy)