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Popular >

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

Solution

inflection points

e^{3 x} (8 - x)

Solution

(\frac{22}{3}, \frac{2 e ^{22}}{3})

Solution steps

f^{''} (x) = 3 e^{3 x} (- 3 x + 22)

Find intervals:

Concave Upward

: - \infty < x < \frac{22}{3},

Concave Downward

: \frac{22}{3} < x < \infty

Plug

x = \frac{22}{3}

into

e^{3 x} (8 - x) : \frac{2 e ^{22}}{3}

(\frac{22}{3}, \frac{2 e ^{22}}{3})

Popular Examples

midpoint (-1,5),(4,-3)midpoint

(- 1, 5), (4, - 3)

range of 4x^2-x+17 range

4 x^{2} - x + 17

inflection 3x^3-36x-5 inflection points

3 x^{3} - 36 x - 5

range of f(x)=log_{10}(1/x)range

f (x) = lo g_{10} (\frac{1}{x})

monotone-2x^2+2x monotone intervals

- 2 x^{2} + 2 x

Frequently Asked Questions (FAQ)

What is the inflection e^{3x}(8-x) ?
The inflection e^{3x}(8-x) is (22/3 ,(2e^{22})/3)