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)

 

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