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Popular >

extreme f(x)=3xe^{8x}

Solution

extreme points

f (x) = 3 x e^{8 x}

Solution

Minimum (- \frac{1}{8}, - \frac{3}{8 e})

Solution steps

f^{'} (x) = 3 (e^{8 x} + 8 e^{8 x} x)

Find intervals:

Decreasing

: - \infty < x < - \frac{1}{8},

Increasing

: - \frac{1}{8} < x < \infty

Plug

x = - \frac{1}{8}

into

3 x e^{8 x} : - \frac{3}{8 e}

Minimum (- \frac{1}{8}, - \frac{3}{8 e})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=3xe^{8x} ?
The extreme f(x)=3xe^{8x} is Minimum(-1/8 ,-3/(8e))