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Popular >

extreme f(x)=2xe^{2x}

Solution

extreme points

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

Solution

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

Solution steps

f^{'} (x) = 2 (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

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

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

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Frequently Asked Questions (FAQ)

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