Atividade Unicessumar

.

\[\eqalign{ & f\left( {x,y} \right) = 13x + 5y - 10 \cr & f\left( {x,y} \right) = 13\left( {5t} \right) + 5\left( {3{t^2} + 2} \right) - 10 \cr & f\left( {x,y} \right) = 65t + 15{t^2} + 10 - 10 \cr & f\left( t \right)' = 65 + 30t \cr & f\left( 2 \right)' = 65 + 30\left( 2 \right) \cr & f\left( 2 \right)' = 65 + 60 \cr & f\left( 2 \right)' = 125 }\]

Portanto, obtemos que o valor da derivada será \(\boxed{f\left( 2 \right)' = 125}\).