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Popular >

extreme f(x)=4xe^{3x}

Solution

extreme points

f (x) = 4 x e^{3 x}

Solution

Minimum (- \frac{1}{3}, - \frac{4}{3 e})

Solution steps

f^{'} (x) = 4 (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

4 x e^{3 x} : - \frac{4}{3 e}

Minimum (- \frac{1}{3}, - \frac{4}{3 e})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=4xe^{3x} ?
The extreme f(x)=4xe^{3x} is Minimum(-1/3 ,-4/(3e))