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

User Achingfingers
by
6.1k points

1 Answer

2 votes

Answer:

f'(x) = 18x² - 18x + 12

Explanation:

Differentiate using the power rule


(d)/(dx) (a
x^(n) ) = na
x^(n-1)

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

User JuicyFruit
by
6.8k points
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