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Popular Functions >

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

Solution

extreme

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})

Graph

Popular Examples

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

extreme f(x)=x^4-8x^3+22x^2-24x

extreme f(x)=-(5x^3)/3+10x^2+25x

extreme f(x)=8-3x-6x^2

Frequently Asked Questions (FAQ)

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