Let g be a differentiable function that satisfies\\
$\cos(g(x)) + x^4 \sin(g(x)) = x^4 + (257/4)x$\near $x = -4$. Use implicit differentiation to find an expression for the derivative $g'(x)$ in term of $g(x)$. Then, given that $g(-4) = (3)\pi$, find the exact value\of $g'(-4)$.\$g'(-4) = $