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Popular Functions >

extreme e^{3x}(4-x)

Solution

extreme

Solution

Maximum (\frac{11}{3}, \frac{e ^{11}}{3})

Solution steps

f^{'} (x) = e^{3 x} (- 3 x + 11)

Find intervals:

Increasing

: - \infty < x < \frac{11}{3},

Decreasing

: \frac{11}{3} < x < \infty

Plug

x = \frac{11}{3}

into

e^{3 x} (4 - x) : \frac{e ^{11}}{3}

Maximum (\frac{11}{3}, \frac{e ^{11}}{3})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme e^{3x}(4-x) ?
The extreme e^{3x}(4-x) is Maximum(11/3 ,(e^{11})/3)