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Popular >

extreme xe^{2x}

Solution

extreme points

x e^{2 x}

Solution

Minimum (- \frac{1}{2}, - \frac{1}{2 e})

Solution steps

f^{'} (x) = e^{2 x} + 2 e^{2 x} x

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{2},

Increasing

: - \frac{1}{2} < x < \infty

Plug

x = - \frac{1}{2}

into

x e^{2 x} : - \frac{1}{2 e}

Minimum (- \frac{1}{2}, - \frac{1}{2 e})

Popular Examples

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

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extreme f(x)=3x^{2/3}+2x-1 extreme points

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

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

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

extreme f(x,y)= y/(x+y^3)extreme points

f (x, y) = \frac{y}{x + y ^{3}}

extreme f(x,y)=x^3+12xy^2-15x-24x extreme points

f (x, y) = x^{3} + 12 x y^{2} - 15 x - 24 x

Frequently Asked Questions (FAQ)

What is the extreme xe^{2x} ?
The extreme xe^{2x} is Minimum(-1/2 ,-1/(2e))