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Popular >

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})

Popular Examples

extreme 2x^2-8x+9 extreme points

2 x^{2} - 8 x + 9

extreme f(x,y)=2-x^4+2x^2-y^2 extreme points

f (x, y) = 2 - x^{4} + 2 x^{2} - y^{2}

extreme f(x)=12x^{2/3}-8x extreme points

f (x) = 12 x^{\frac{2}{3}} - 8 x

extreme f(x)=4x^3-2x^2+x-1 extreme points

f (x) = 4 x^{3} - 2 x^{2} + x - 1

extreme f(x)=x^5-5x^4+8 extreme points

f (x) = x^{5} - 5 x^{4} + 8

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)