3 years ago

Can anyone help I’ll mark brainliest!!

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

13. Growing exponentially to carrying capacity
14. Population is dying down down after reaching carrying capacity

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Identify the absolute extrema of the function and the x-values where they occur.

sladkih [1.3K]

$f(x)=6x+\dfrac{24}{x^2}+3\\
f'(x)=6-\dfrac{48}{x^3}\\
6-\dfrac{48}{x^3}=0\\
6x^3-48=0\\
6x^3=48\\
x^3=8\\
x=2\\
$

For $x$ the derivative is negative.
For $x>2$ the derivative is positive.
Therefore at $x=2$ there's a minimum.

$f_{min}=6\cdot2+\dfrac{24}{2^2}+3=12+6+3=21$

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3 years ago

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4 years ago

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Andreyy89

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4 years ago

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ivann1987 [24]

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Jlenok [28]

Answer:

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