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If f(x) = 2x5/3, what is the instantaneous rate of change of f(x) at x = 8? StartFraction 16 Over 3 EndFraction StartFraction 32 Over 3 EndFraction StartFraction 40 Over 3 EndFr…

If f(x) = 2x5/3, what is the instantaneous rate of change of f(x) at x = 8? StartFraction 16 Over 3 EndFraction StartFraction 32 Over 3 EndFraction StartFraction 40 Over 3 EndFr…
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If f(x) = 2x5/3, what is the instantaneous rate of change of f(x) at x = 8?

StartFraction 16 Over 3 EndFraction
StartFraction 32 Over 3 EndFraction
StartFraction 40 Over 3 EndFraction
StartFraction 44 Over 3 EndFraction

asked
User I Mr Oli I
by
7.4k points

1 Answer

4 votes

Answer:

f(x) = 2x^(5/3)

f'(x) = (10/3)x^(2/3)

f'(8) = (10/3)(8^(2/3)) = (10/3)(4) = 40/3

answered
User Mattt
by
7.6k points
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