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Popular Functions >

extreme e^{8x}(3-x)

Solution

extreme points

e^{8 x} (3 - x)

Solution

Maximum (\frac{23}{8}, \frac{e ^{23}}{8})

Solution steps

f^{'} (x) = e^{8 x} (- 8 x + 23)

Find intervals:

Increasing

: - \infty < x < \frac{23}{8},

Decreasing

: \frac{23}{8} < x < \infty

Plug

x = \frac{23}{8}

into

e^{8 x} (3 - x) : \frac{e ^{23}}{8}

Maximum (\frac{23}{8}, \frac{e ^{23}}{8})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme e^{8x}(3-x) ?
The extreme e^{8x}(3-x) is Maximum(23/8 ,(e^{23})/8)