Find the partial derivatives of the following functions (where g: R →R is continuous):

(a) f(x,y ) = fx+ y g

(b) f(x,y ) =fx g

(c) f(x,y ) =f xy g

(d) f(x,y ) =f(fyg)g

(a) f(x,y ) = fx+ y g

(b) f(x,y ) =fx g

(c) f(x,y ) =f xy g

(d) f(x,y ) =f(fyg)g

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