Problem $3.$ Given the function:

$f(y,z)=(siny)e^{x^3-z^{-1}}+e^{yz}$

$($a$)$ Determine $f_x$

$($b$)$ Determine $f_y$

$($c$)$ Determine $f_{yz}$Problem $3.$ Given the function:

$f(y,z)=(siny)e^{x^3-z^{-1}}+e^{yz}$

$($a$)$ Determine $f_x$

$($b$)$ Determine $f_y$

$($c$)$ Determine $f_{yz}$