For this discussion, you will work in groups to determine the most efficient rule to use. many “rules” in mathematics are related to efficiency, though multiple ways to get to the correct solution abound. in this activity, you will use two legitimate solution paths and experience a difference in efficiency. 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 using the canvas equation editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative latex: \left(4x+6\right)\left(9x-5\right) ( 4 x + 6 ) ( 9 x − 5 ) latex: 4x^2\left(3x^3-2x^2+5x\right) 4 x 2 ( 3 x 3 − 2 x 2 + 5 x ) latex: \left(3x^2\: -x\: +1\right)\left(7\: -\: x^6\right) ( 3 x 2 − x + 1 ) ( 7 − x 6 ) latex: \left(h^3\: -\: 5\right)\left(3h^2\: -\: 5h\: -\: 4\right)