SOLUTION: Find the second derivative of the function f(x) = (6x – x2)^10

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Question 996768: Find the second derivative of the function
f(x) = (6x – x2)^10
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the second derivative of the function
f(x) = (6x – x2)^10
f'(x) = 10*(6x - x^2)^9*(6 - 2x)
f'(x) = 60*(6x - x^2)^9 - 2x*(6x - x^2)^9
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f"(x) = 9*60*(6x - x^2)^8*(6-2x) -2*(6x - x^2)^9 - 2x*9*(6x - x^2)^8*(6-2x)
=
= %2836x%5E2+-+216x+%2B+3240%29%2A%286x+-+x%5E2%29%5E8+-+2%286x+-+x%5E2%29%5E9
=
= %2838x%5E2+-+228x+%2B+3240%29%2A%286x+-+x%5E2%29%5E8