Consider the following function.

$F(x,y,z)=2(x-6{)}^2+(y-5{)}^2+(z-5{)}^2=10$

Find the partial derivatives.

$F_x(x,y,z)=$

$F_y(x,y,z)=$

$F_z(x,y,z)=$

Determine the partial derivatives at the point $(7,7,7).$

$F_x(7,7,7)=$

$F_y(7,7,7)=$

$F_z(7,7,7)=$

Now, consider the following.

$2(x-6{)}^2+(y-5{)}^2+(z-5{)}^2=10,(7,7,7)$

$($a$)$ Find an equation of the tangent plane to the given surface at the specified point.

$($b$)$ Find an equation of the normal line to the given surface at the specified point.

$($