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Popular >

extreme f(x)=xe^{6x}

Solution

extreme points

f (x) = x e^{6 x}

Solution

Minimum (- \frac{1}{6}, - \frac{1}{6 e})

Solution steps

f^{'} (x) = e^{6 x} + 6 e^{6 x} x

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{6},

Increasing

: - \frac{1}{6} < x < \infty

Plug

x = - \frac{1}{6}

into

x e^{6 x} : - \frac{1}{6 e}

Minimum (- \frac{1}{6}, - \frac{1}{6 e})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{6x} ?
The extreme f(x)=xe^{6x} is Minimum(-1/6 ,-1/(6e))