Find the derivative of a polynomial

Question

Solve the below:

Q1: Find the derivative of a polynomial p(x)=a_nxⁿ+a_n-1x^n-1+.....+a1_x+a0 where a_n≠0.What can you say about degrees of p(x) and p'(x)

Q2: f(x) = (x^3 + 2x+ 1) (2+ (1)/(x^2)) Find derivative

Q3: Suppose f and g are functions that are differentiable at x = 1 and that:

f(1) = 2

f prime (1) = -1

g(1) = -2

g prime (1) = 3

Find the Value of h prime (1) for : h(x) = f(x)g(x) / f(x) - g(x)