Evaluate the following partial derivatives using

the Fundamental Theorem $of$ Calculus.

For $f(x,y)={\displaystyle \underset{x}{\overset{y}{}}}sin(\frac{1}{t})dt,$ compute

$f_x=$

$f_{}=$

For $f(x,y)={\displaystyle \underset{1}{\overset{xy}{}}}\sqrt[\phantom{2}]{1+t^3}dt,$ compute

$f_y=$

$f_{yy}=$