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Popular >

extreme xe^{((5-x))/4}

Solution

extreme points

x e^{\frac{( 5 - x )}{4}}

Solution

Maximum (4, 4 e^{\frac{1}{4}})

Solution steps

f^{'} (x) = e^{\frac{5 - x}{4}} (1 - \frac{x}{4})

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

x e^{\frac{5 - x}{4}} : 4 e^{\frac{1}{4}}

Maximum (4, 4 e^{\frac{1}{4}})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme xe^{((5-x))/4} ?
The extreme xe^{((5-x))/4} is Maximum(4,4e^{1/4})