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Popular >

extreme f(x)=x(-(2x)/3+4)

Solution

extreme points

f (x) = x (- \frac{2 x}{3} + 4)

Solution

Maximum (3, 6)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 3

into

x (- \frac{2 x}{3} + 4) : 6

Maximum (3, 6)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x(-(2x)/3+4) ?
The extreme f(x)=x(-(2x)/3+4) is Maximum(3,6)