First you raise the expressions in the parentheses to their powers. Then multiply the two expressions together. You get to see multiplying exponents (raising a power to a power) and adding exponents (multiplying same bases).
This is the answer 4828.03
The derivative of
at a point
in the direction of a vector
is

We have

and

Then the derivative at
in the direction of
is

As already described above, the prime polynomial is that which can no longer be factored to yield a much simpler terms. From the given choices, that which cannot be factored is letter C.