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Asked Oct 16, 2019
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Determine all critical points for the following function
19.
f(x) x(8-x)3
_
(Use a comma to separate answers as needed.)
х3
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Determine all critical points for the following function 19. f(x) x(8-x)3 _ (Use a comma to separate answers as needed.) х3

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Expert Answer

Step 1

Find the critical points of the given function:

 

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f(x)=x(8-x)

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Step 2

To determine the critical points of the given function, find the first derivative and then set the first derivative equal to 0.

Now expand the function first.

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f(x) x(8-x f(x)x(x 24x2 -192r +512) f(x)-x24x -192.x2 +512x

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Step 3

Firstly find the first derivative of t...

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f(x)-x24r-192x2 +512x differentiate with respect to x f (x)=-4x 3(24x2)-2(192x)+512 f'(x)-4x72x2 -384x+512

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Tagged in

Math

Calculus

Derivative