If $f(x) = x^7 + 2 e^x$, find $f'( 5 )$.

$f'(5) =$

Use this to find the equation of the tangent line to the curve $y = x^7 + 2 e^x$ at the point $(a,f(a))$ when $a= 5$. The equation of this tangent line can be written in the form $y = mx+b$. Find $m =$ and $b$.

$m =$
$b =$