Let F(x, Y) = $x ^ { 2 }$ $y ^ { 3 }$

True/False

Let f(x, y) = ( $x ^ { 2 }$ $y ^ { 3 }$ + $x ^ { 3 }$ $5 ^ { 5 }$ . Find $\frac { \partial f } { \partial y }$ . Is $5 \left( x ^ { 3 } + y ^ { 3 } x ^ { 2 } \right) ^ { 4 } \left( 3 y ^ { 2 } x ^ { 2 } \right)$ the correct answer?