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Popular >

extreme f(x)=200x-2/3 x^2

Solution

extreme points

f (x) = 200 x - \frac{2}{3} x^{2}

Solution

Maximum (150, 15000)

Solution steps

f^{'} (x) = 200 - \frac{4 x}{3}

Find intervals:

Increasing

: - \infty < x < 150,

Decreasing

: 150 < x < \infty

Plug

x = 150

into

200 x - \frac{2}{3} x^{2} : 15000

Maximum (150, 15000)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=200x-2/3 x^2 ?
The extreme f(x)=200x-2/3 x^2 is Maximum(150,15000)