(a) Find the derivative of f(x)=(x2+2)(4x−3) by first expanding the polynomials.
Enter the fully simplified expression for f(x) after expanding the polynomials.
f(x)=

Enter the derivative of f(x).

f'(x)=

(b) Find the derivative of f(x)=(x2+2)(4x−3) by using the product rule. Let g(x)=x2+2 and h(x)=4x−3 .

g'(x)=

h'(x)=

f'(x)=

(c) Are the expressions for the derivative in (a) and (b) the same?