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If ff Is a Function Of xx And yy , And yy Is a Function Of

Question 160

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If ff is a function of xx and yy , and yy is a function of xx , then indirectly ff depends only on xx : g(x)=f(x,y(x))g ( x ) = f ( x , y ( x ) ) . Use the Chain Rule to write an expression for dgdx\frac { d g } { d x } in terms of δfδx\frac { \delta f } { \delta x } and δfδy\frac { \delta f } { \delta y } .

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