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If f(4)=8 and f'(x)=x^2f(x) find f''(4)

If f(4)=8 and f'(x)=x^2f(x) find f''(4)
asked 217k views
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If f(4)=8 and f'(x)=x^2f(x) find f''(4)

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User Timsen
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8.5k points

1 Answer

5 votes

Explanation:

f'(x)=x^2f(x)

f''(x) = 2x. f(x) + x² . f'(x)

f''(4) = 2(4) . 8 + 4² . [4². 8]

= 8 . 8 + 16 [ 16 . 8]

= 2112

answered
User OlivierLarue
by
8.6k points
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