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Popular Functions >

extreme f(x)=xe^{3-(x/4)}

Solution

extreme points

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

Solution

Maximum (4, 4 e^{2})

Solution steps

f^{'} (x) = e^{3 - \frac{x}{4}} (1 - \frac{x}{4})

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

x e^{3 - \frac{x}{4}} : 4 e^{2}

Maximum (4, 4 e^{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{3-(x/4)} ?
The extreme f(x)=xe^{3-(x/4)} is Maximum(4,4e^2)