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Popular >

extreme f(x)=xe^{3x}

Solution

extreme points

f (x) = x e^{3 x}

Solution

Minimum (- \frac{1}{3}, - \frac{1}{3 e})

Solution steps

f^{'} (x) = e^{3 x} + 3 e^{3 x} x

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{3},

Increasing

: - \frac{1}{3} < x < \infty

Plug

x = - \frac{1}{3}

into

x e^{3 x} : - \frac{1}{3 e}

Minimum (- \frac{1}{3}, - \frac{1}{3 e})

Graph

Popular Examples

perpendicular y=3x perpendicular

y = 3 x

asymptotes of f(x)= 4/x+2 asymptotes

f (x) = \frac{4}{x} + 2

inflection f(x)=x^3-12x+6 inflection points

f (x) = x^{3} - 12 x + 6

inverse of f(x)=(x+17)/(x-14)inverse

f (x) = \frac{x + 17}{x - 14}

x = 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{3x} ?
The extreme f(x)=xe^{3x} is Minimum(-1/3 ,-1/(3e))