5-20 Find f'(x).
5. f(x) = (3x² +6) (2x - 3)

f'(x) = 18x² - 18x + 12

Step-by-step explanation:

Differentiate using the power rule

(a ) = na

Given

f(x) = (3x² + 6)(2x - 3) ← expand factors using FOIL

     = 6x³ - 9x²  + 12x - 18 , then

f'(x) = 3.6x² - 2.9x + 12

      = 18x² - 18x + 12

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step-by-step explanation: