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Let $f ( x , y ) = \ln \left( \sqrt { x ^ { 2 } + y ^ { 2 } } \right)$

Question 100

Multiple Choice

Let $f ( x , y ) = \ln \left( \sqrt { x ^ { 2 } + y ^ { 2 } } \right)$ . Then $f _ { x x } ( x , y )$ is

A) $- \frac { y ^ { 2 } - x ^ { 2 } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } }$
B) $\frac { y ^ { 2 } + x ^ { 2 } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } }$
C) $\frac { y ^ { 2 } - x ^ { 2 } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } }$
D) $- \frac { y ^ { 2 } + x ^ { 2 } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } }$
E) $\frac { y ^ { 2 } - 2 x ^ { 2 } } { \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 2 } }$

Let f(x,y)=ln⁡(x2+y2)f ( x , y ) = \ln \left( \sqrt { x ^ { 2 } + y ^ { 2 } } \right)f(x,y)=ln(x2+y2​)

Multiple Choice

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Let $f ( x , y ) = \ln \left( \sqrt { x ^ { 2 } + y ^ { 2 } } \right)$

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