Find the derivative for each of the following functions with the help of the generalized power function rule.

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(a) y=(3x+8)5 Here g(x)=3x3 +8, g'(x) = 9x, and n = 5. Substituting in the generalized power function rule, y' = 5(3x3 +8)5-1. 9x2 y' = 5(3x3 +8)4.9x = 45x (3x +8)4 (b) y=(3x-5x+9)4 y=4(3x25x+9) (6x-5) y' = (24x-20)(3x -5x+9)