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Question

Ramirez Bolton

03/09/2022 · Primary School

Find all second order derivatives for \( r ( x , y ) = \frac { x y } { 2 x + 5 y } \) 

\( r _ { x x } ( x , y ) = \frac { - 20 y ^ { 2 } } { ( 2 x + 5 y ) ^ { 3 } } \) 

\( r _ { y y } ( x , y ) = \frac { - 20 x ^ { 2 } } { ( 2 x + 5 y ) ^ { 3 } } \) 

\( r _ { x y } ( x , y ) = r _ { y x } ( x , y ) = \) 

Answer
expertExpert-Verified Answer

Vaughan Gonzalez
Experienced Tutor
4.0 (33votes)

\( r _ { x y } ( x , y ) = r _ { y x } ( x , y ) = \frac{40x^{2}y+ 100xy^{2}}{(2x+ 5y)^{4}} \)

 

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