Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the...

Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions along with explanations of the intermediate steps that demonstrate your understanding of the derivative.

1. (4x + 6)(9x-5)

2. 4x^2(3x^3 -2x^2 +5x)

3. (3x^2 -x + 1)(7-x^6)

4. (h^3 -5)(3h^2 -5h - 4)