Need help with calculus

Let f(x) be a polynomial of degree 8. What is the degree of f'(x)? (Recall that the degree of a polynomial in one variable x is the highest power of that variable occurring in the polynomial.) Check\fThe derivative of a function f(x) is defined by f'(x) = lim h-0 X Now consider the function f(x) = By definition of the derivative, we have: X +8 f'(x) = lim h-0 This limit is of type: (No answer given) We perform algebraic manipulations to evaluate the limit, and obtain that the derivative f'(x) is: f' (x) = Check